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Finding the Fourth Proportional to 9,909.69, 14,863.17 and 5,475.55

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Solution

The fourth proportional to 9,909.69, 14,863.17 and 5,475.55 is: 8,212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.69 : 14,863.17 = 5,475.55 : x
  2. Step 2: Convert to fraction form
    9,909.69/14,863.17 = 5,475.55/x
  3. Step 3: Cross multiply
    9,909.69x = 14,863.17 × 5,475.55
  4. Step 4: Simplify right side
    9,909.69x = 81,384,030.49
  5. Step 5: Solve for x
    x = 81,384,030.49/9,909.69
  6. Step 6: Final answer
    x = 8,212.57

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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.