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Finding the Fourth Proportional to 15,185.52, 22,780.44 and 7,389

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Solution

The fourth proportional to 15,185.52, 22,780.44 and 7,389 is: 11,084.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,185.52 : 22,780.44 = 7,389 : x
  2. Step 2: Convert to fraction form
    15,185.52/22,780.44 = 7,389/x
  3. Step 3: Cross multiply
    15,185.52x = 22,780.44 × 7,389
  4. Step 4: Simplify right side
    15,185.52x = 168,324,671.16
  5. Step 5: Solve for x
    x = 168,324,671.16/15,185.52
  6. Step 6: Final answer
    x = 11,084.55

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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.