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Finding the Fourth Proportional to 31,364.48, 47,036.28 and 9,179.12

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Solution

The fourth proportional to 31,364.48, 47,036.28 and 9,179.12 is: 13,765.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,364.48 : 47,036.28 = 9,179.12 : x
  2. Step 2: Convert to fraction form
    31,364.48/47,036.28 = 9,179.12/x
  3. Step 3: Cross multiply
    31,364.48x = 47,036.28 × 9,179.12
  4. Step 4: Simplify right side
    31,364.48x = 431,751,658.47
  5. Step 5: Solve for x
    x = 431,751,658.47/31,364.48
  6. Step 6: Final answer
    x = 13,765.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.