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Finding the Fourth Proportional to 1,682.76, 2,323.92 and 1,499.40

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Solution

The fourth proportional to 1,682.76, 2,323.92 and 1,499.40 is: 2,070.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.76 : 2,323.92 = 1,499.40 : x
  2. Step 2: Convert to fraction form
    1,682.76/2,323.92 = 1,499.40/x
  3. Step 3: Cross multiply
    1,682.76x = 2,323.92 × 1,499.40
  4. Step 4: Simplify right side
    1,682.76x = 3,484,485.65
  5. Step 5: Solve for x
    x = 3,484,485.65/1,682.76
  6. Step 6: Final answer
    x = 2,070.70

Related Problems

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Half scale
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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.