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Finding the Fourth Proportional to 15,148, 22,706.88 and 6,387.76

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Solution

The fourth proportional to 15,148, 22,706.88 and 6,387.76 is: 9,575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,148 : 22,706.88 = 6,387.76 : x
  2. Step 2: Convert to fraction form
    15,148/22,706.88 = 6,387.76/x
  3. Step 3: Cross multiply
    15,148x = 22,706.88 × 6,387.76
  4. Step 4: Simplify right side
    15,148x = 145,046,099.79
  5. Step 5: Solve for x
    x = 145,046,099.79/15,148
  6. Step 6: Final answer
    x = 9,575.26

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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.