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Finding the Fourth Proportional to 9,470.38, 13,069.72 and 5,221.42

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Solution

The fourth proportional to 9,470.38, 13,069.72 and 5,221.42 is: 7,205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.38 : 13,069.72 = 5,221.42 : x
  2. Step 2: Convert to fraction form
    9,470.38/13,069.72 = 5,221.42/x
  3. Step 3: Cross multiply
    9,470.38x = 13,069.72 × 5,221.42
  4. Step 4: Simplify right side
    9,470.38x = 68,242,497.40
  5. Step 5: Solve for x
    x = 68,242,497.40/9,470.38
  6. Step 6: Final answer
    x = 7,205.89

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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.