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Finding the Fourth Proportional to 15,120, 22,678.77 and 9,557.12

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Solution

The fourth proportional to 15,120, 22,678.77 and 9,557.12 is: 14,334.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,120 : 22,678.77 = 9,557.12 : x
  2. Step 2: Convert to fraction form
    15,120/22,678.77 = 9,557.12/x
  3. Step 3: Cross multiply
    15,120x = 22,678.77 × 9,557.12
  4. Step 4: Simplify right side
    15,120x = 216,743,726.34
  5. Step 5: Solve for x
    x = 216,743,726.34/15,120
  6. Step 6: Final answer
    x = 14,334.90

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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.