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Finding the Fourth Proportional to 11,670, 17,472.52 and 9,988.44

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Solution

The fourth proportional to 11,670, 17,472.52 and 9,988.44 is: 14,954.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670 : 17,472.52 = 9,988.44 : x
  2. Step 2: Convert to fraction form
    11,670/17,472.52 = 9,988.44/x
  3. Step 3: Cross multiply
    11,670x = 17,472.52 × 9,988.44
  4. Step 4: Simplify right side
    11,670x = 174,523,217.67
  5. Step 5: Solve for x
    x = 174,523,217.67/11,670
  6. Step 6: Final answer
    x = 14,954.86

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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.