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Finding the Fourth Proportional to 10,791, 14,891.58 and 6,076.44

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Solution

The fourth proportional to 10,791, 14,891.58 and 6,076.44 is: 8,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791 : 14,891.58 = 6,076.44 : x
  2. Step 2: Convert to fraction form
    10,791/14,891.58 = 6,076.44/x
  3. Step 3: Cross multiply
    10,791x = 14,891.58 × 6,076.44
  4. Step 4: Simplify right side
    10,791x = 90,487,792.38
  5. Step 5: Solve for x
    x = 90,487,792.38/10,791
  6. Step 6: Final answer
    x = 8,385.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.