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Finding the Fourth Proportional to 2,691.36, 3,714.42 and 1,572.90

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Solution

The fourth proportional to 2,691.36, 3,714.42 and 1,572.90 is: 2,170.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.36 : 3,714.42 = 1,572.90 : x
  2. Step 2: Convert to fraction form
    2,691.36/3,714.42 = 1,572.90/x
  3. Step 3: Cross multiply
    2,691.36x = 3,714.42 × 1,572.90
  4. Step 4: Simplify right side
    2,691.36x = 5,842,411.22
  5. Step 5: Solve for x
    x = 5,842,411.22/2,691.36
  6. Step 6: Final answer
    x = 2,170.80

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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.