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Finding the Fourth Proportional to 15,137.76, 22,706.88 and 7,721.28

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Solution

The fourth proportional to 15,137.76, 22,706.88 and 7,721.28 is: 11,582.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,137.76 : 22,706.88 = 7,721.28 : x
  2. Step 2: Convert to fraction form
    15,137.76/22,706.88 = 7,721.28/x
  3. Step 3: Cross multiply
    15,137.76x = 22,706.88 × 7,721.28
  4. Step 4: Simplify right side
    15,137.76x = 175,326,178.41
  5. Step 5: Solve for x
    x = 175,326,178.41/15,137.76
  6. Step 6: Final answer
    x = 11,582.04

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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.