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Finding the Fourth Proportional to 1,691.68, 2,520.41 and 1,609.06

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Solution

The fourth proportional to 1,691.68, 2,520.41 and 1,609.06 is: 2,397.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.68 : 2,520.41 = 1,609.06 : x
  2. Step 2: Convert to fraction form
    1,691.68/2,520.41 = 1,609.06/x
  3. Step 3: Cross multiply
    1,691.68x = 2,520.41 × 1,609.06
  4. Step 4: Simplify right side
    1,691.68x = 4,055,490.91
  5. Step 5: Solve for x
    x = 4,055,490.91/1,691.68
  6. Step 6: Final answer
    x = 2,397.32

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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.