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Finding the Fourth Proportional to 31,466, 47,199 and 9,578

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Solution

The fourth proportional to 31,466, 47,199 and 9,578 is: 14,367

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,466 : 47,199 = 9,578 : x
  2. Step 2: Convert to fraction form
    31,466/47,199 = 9,578/x
  3. Step 3: Cross multiply
    31,466x = 47,199 × 9,578
  4. Step 4: Simplify right side
    31,466x = 452,072,022
  5. Step 5: Solve for x
    x = 452,072,022/31,466
  6. Step 6: Final answer
    x = 14,367

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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.