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Finding the Fourth Proportional to 14,049, 19,387.80 and 7,761.96

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Solution

The fourth proportional to 14,049, 19,387.80 and 7,761.96 is: 10,711.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,049 : 19,387.80 = 7,761.96 : x
  2. Step 2: Convert to fraction form
    14,049/19,387.80 = 7,761.96/x
  3. Step 3: Cross multiply
    14,049x = 19,387.80 × 7,761.96
  4. Step 4: Simplify right side
    14,049x = 150,487,328.09
  5. Step 5: Solve for x
    x = 150,487,328.09/14,049
  6. Step 6: Final answer
    x = 10,711.60

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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.