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Finding the Fourth Proportional to 10,539.81, 15,818.81 and 5,864.49

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Solution

The fourth proportional to 10,539.81, 15,818.81 and 5,864.49 is: 8,801.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.81 : 15,818.81 = 5,864.49 : x
  2. Step 2: Convert to fraction form
    10,539.81/15,818.81 = 5,864.49/x
  3. Step 3: Cross multiply
    10,539.81x = 15,818.81 × 5,864.49
  4. Step 4: Simplify right side
    10,539.81x = 92,769,223.73
  5. Step 5: Solve for x
    x = 92,769,223.73/10,539.81
  6. Step 6: Final answer
    x = 8,801.79

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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.