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Finding the Fourth Proportional to 3,080, 4,250.40 and 1,682.76

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Solution

The fourth proportional to 3,080, 4,250.40 and 1,682.76 is: 2,322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080 : 4,250.40 = 1,682.76 : x
  2. Step 2: Convert to fraction form
    3,080/4,250.40 = 1,682.76/x
  3. Step 3: Cross multiply
    3,080x = 4,250.40 × 1,682.76
  4. Step 4: Simplify right side
    3,080x = 7,152,403.10
  5. Step 5: Solve for x
    x = 7,152,403.10/3,080
  6. Step 6: Final answer
    x = 2,322.21

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Double scale
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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.