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Finding the Fourth Proportional to 31,478, 47,217 and 9,590

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Solution

The fourth proportional to 31,478, 47,217 and 9,590 is: 14,385

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,478 : 47,217 = 9,590 : x
  2. Step 2: Convert to fraction form
    31,478/47,217 = 9,590/x
  3. Step 3: Cross multiply
    31,478x = 47,217 × 9,590
  4. Step 4: Simplify right side
    31,478x = 452,811,030
  5. Step 5: Solve for x
    x = 452,811,030/31,478
  6. Step 6: Final answer
    x = 14,385

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Why These Related Problems?

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