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Finding the Fourth Proportional to 15,129.18, 22,715.03 and 7,738.94

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Solution

The fourth proportional to 15,129.18, 22,715.03 and 7,738.94 is: 11,619.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,129.18 : 22,715.03 = 7,738.94 : x
  2. Step 2: Convert to fraction form
    15,129.18/22,715.03 = 7,738.94/x
  3. Step 3: Cross multiply
    15,129.18x = 22,715.03 × 7,738.94
  4. Step 4: Simplify right side
    15,129.18x = 175,790,330.40
  5. Step 5: Solve for x
    x = 175,790,330.40/15,129.18
  6. Step 6: Final answer
    x = 11,619.29

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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.