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Finding the Fourth Proportional to 31,470, 47,205 and 9,582

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Solution

The fourth proportional to 31,470, 47,205 and 9,582 is: 14,373

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,470 : 47,205 = 9,582 : x
  2. Step 2: Convert to fraction form
    31,470/47,205 = 9,582/x
  3. Step 3: Cross multiply
    31,470x = 47,205 × 9,582
  4. Step 4: Simplify right side
    31,470x = 452,318,310
  5. Step 5: Solve for x
    x = 452,318,310/31,470
  6. Step 6: Final answer
    x = 14,373

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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.