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Finding the Fourth Proportional to 15,120, 20,866.88 and 8,497.28

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Solution

The fourth proportional to 15,120, 20,866.88 and 8,497.28 is: 11,726.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,120 : 20,866.88 = 8,497.28 : x
  2. Step 2: Convert to fraction form
    15,120/20,866.88 = 8,497.28/x
  3. Step 3: Cross multiply
    15,120x = 20,866.88 × 8,497.28
  4. Step 4: Simplify right side
    15,120x = 177,311,722.09
  5. Step 5: Solve for x
    x = 177,311,722.09/15,120
  6. Step 6: Final answer
    x = 11,726.97

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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.