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Finding the Fourth Proportional to 9,747.60, 13,470.48 and 7,385.64

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Solution

The fourth proportional to 9,747.60, 13,470.48 and 7,385.64 is: 10,206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.60 : 13,470.48 = 7,385.64 : x
  2. Step 2: Convert to fraction form
    9,747.60/13,470.48 = 7,385.64/x
  3. Step 3: Cross multiply
    9,747.60x = 13,470.48 × 7,385.64
  4. Step 4: Simplify right side
    9,747.60x = 99,488,115.91
  5. Step 5: Solve for x
    x = 99,488,115.91/9,747.60
  6. Step 6: Final answer
    x = 10,206.42

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1.5x scale

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.