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Finding the Fourth Proportional to 3,815.52, 5,726.16 and 2,792.16

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Solution

The fourth proportional to 3,815.52, 5,726.16 and 2,792.16 is: 4,190.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.52 : 5,726.16 = 2,792.16 : x
  2. Step 2: Convert to fraction form
    3,815.52/5,726.16 = 2,792.16/x
  3. Step 3: Cross multiply
    3,815.52x = 5,726.16 × 2,792.16
  4. Step 4: Simplify right side
    3,815.52x = 15,988,354.91
  5. Step 5: Solve for x
    x = 15,988,354.91/3,815.52
  6. Step 6: Final answer
    x = 4,190.35

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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.