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Finding the Fourth Proportional to 2,617.40, 3,612.14 and 1,569.40

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Solution

The fourth proportional to 2,617.40, 3,612.14 and 1,569.40 is: 2,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.40 : 3,612.14 = 1,569.40 : x
  2. Step 2: Convert to fraction form
    2,617.40/3,612.14 = 1,569.40/x
  3. Step 3: Cross multiply
    2,617.40x = 3,612.14 × 1,569.40
  4. Step 4: Simplify right side
    2,617.40x = 5,668,892.52
  5. Step 5: Solve for x
    x = 5,668,892.52/2,617.40
  6. Step 6: Final answer
    x = 2,165.85

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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.