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Finding the Fourth Proportional to 1,689.92, 2,520.42 and 1,631.13

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Solution

The fourth proportional to 1,689.92, 2,520.42 and 1,631.13 is: 2,432.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.92 : 2,520.42 = 1,631.13 : x
  2. Step 2: Convert to fraction form
    1,689.92/2,520.42 = 1,631.13/x
  3. Step 3: Cross multiply
    1,689.92x = 2,520.42 × 1,631.13
  4. Step 4: Simplify right side
    1,689.92x = 4,111,132.67
  5. Step 5: Solve for x
    x = 4,111,132.67/1,689.92
  6. Step 6: Final answer
    x = 2,432.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.