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Finding the Fourth Proportional to 31,488, 47,239.68 and 9,600

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Solution

The fourth proportional to 31,488, 47,239.68 and 9,600 is: 14,402.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,488 : 47,239.68 = 9,600 : x
  2. Step 2: Convert to fraction form
    31,488/47,239.68 = 9,600/x
  3. Step 3: Cross multiply
    31,488x = 47,239.68 × 9,600
  4. Step 4: Simplify right side
    31,488x = 453,500,928
  5. Step 5: Solve for x
    x = 453,500,928/31,488
  6. Step 6: Final answer
    x = 14,402.34

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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.