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Finding the Fourth Proportional to 31,436, 47,154 and 9,548

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Solution

The fourth proportional to 31,436, 47,154 and 9,548 is: 14,322

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,436 : 47,154 = 9,548 : x
  2. Step 2: Convert to fraction form
    31,436/47,154 = 9,548/x
  3. Step 3: Cross multiply
    31,436x = 47,154 × 9,548
  4. Step 4: Simplify right side
    31,436x = 450,226,392
  5. Step 5: Solve for x
    x = 450,226,392/31,436
  6. Step 6: Final answer
    x = 14,322

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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.