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Finding the Fourth Proportional to 2,569.12, 3,854 and 925.24

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Solution

The fourth proportional to 2,569.12, 3,854 and 925.24 is: 1,387.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.12 : 3,854 = 925.24 : x
  2. Step 2: Convert to fraction form
    2,569.12/3,854 = 925.24/x
  3. Step 3: Cross multiply
    2,569.12x = 3,854 × 925.24
  4. Step 4: Simplify right side
    2,569.12x = 3,565,874.96
  5. Step 5: Solve for x
    x = 3,565,874.96/2,569.12
  6. Step 6: Final answer
    x = 1,387.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.