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Finding the Fourth Proportional to 31,476, 47,214 and 9,588

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Solution

The fourth proportional to 31,476, 47,214 and 9,588 is: 14,382

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,476 : 47,214 = 9,588 : x
  2. Step 2: Convert to fraction form
    31,476/47,214 = 9,588/x
  3. Step 3: Cross multiply
    31,476x = 47,214 × 9,588
  4. Step 4: Simplify right side
    31,476x = 452,687,832
  5. Step 5: Solve for x
    x = 452,687,832/31,476
  6. Step 6: Final answer
    x = 14,382

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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.