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Finding the Fourth Proportional to 1,682.77, 2,321.13 and 1,086.02

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Solution

The fourth proportional to 1,682.77, 2,321.13 and 1,086.02 is: 1,498.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.77 : 2,321.13 = 1,086.02 : x
  2. Step 2: Convert to fraction form
    1,682.77/2,321.13 = 1,086.02/x
  3. Step 3: Cross multiply
    1,682.77x = 2,321.13 × 1,086.02
  4. Step 4: Simplify right side
    1,682.77x = 2,520,793.60
  5. Step 5: Solve for x
    x = 2,520,793.60/1,682.77
  6. Step 6: Final answer
    x = 1,498.01

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,683.77, 2,322.51 and 1,087.02
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.