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Finding the Fourth Proportional to 10,566.38, 15,818 and 6,393.78

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Solution

The fourth proportional to 10,566.38, 15,818 and 6,393.78 is: 9,571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,566.38 : 15,818 = 6,393.78 : x
  2. Step 2: Convert to fraction form
    10,566.38/15,818 = 6,393.78/x
  3. Step 3: Cross multiply
    10,566.38x = 15,818 × 6,393.78
  4. Step 4: Simplify right side
    10,566.38x = 101,136,812.04
  5. Step 5: Solve for x
    x = 101,136,812.04/10,566.38
  6. Step 6: Final answer
    x = 9,571.57

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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.