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Finding the Fourth Proportional to 31,416, 47,124 and 9,528

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Solution

The fourth proportional to 31,416, 47,124 and 9,528 is: 14,292

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,416 : 47,124 = 9,528 : x
  2. Step 2: Convert to fraction form
    31,416/47,124 = 9,528/x
  3. Step 3: Cross multiply
    31,416x = 47,124 × 9,528
  4. Step 4: Simplify right side
    31,416x = 448,997,472
  5. Step 5: Solve for x
    x = 448,997,472/31,416
  6. Step 6: Final answer
    x = 14,292

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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.