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Finding the Fourth Proportional to 15,438, 23,166.46 and 6,672.72

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Solution

The fourth proportional to 15,438, 23,166.46 and 6,672.72 is: 10,013.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,438 : 23,166.46 = 6,672.72 : x
  2. Step 2: Convert to fraction form
    15,438/23,166.46 = 6,672.72/x
  3. Step 3: Cross multiply
    15,438x = 23,166.46 × 6,672.72
  4. Step 4: Simplify right side
    15,438x = 154,583,300.97
  5. Step 5: Solve for x
    x = 154,583,300.97/15,438
  6. Step 6: Final answer
    x = 10,013.17

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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.