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Finding the Fourth Proportional to 31,165, 46,747.50 and 9,277

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Solution

The fourth proportional to 31,165, 46,747.50 and 9,277 is: 13,915.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,165 : 46,747.50 = 9,277 : x
  2. Step 2: Convert to fraction form
    31,165/46,747.50 = 9,277/x
  3. Step 3: Cross multiply
    31,165x = 46,747.50 × 9,277
  4. Step 4: Simplify right side
    31,165x = 433,676,557.50
  5. Step 5: Solve for x
    x = 433,676,557.50/31,165
  6. Step 6: Final answer
    x = 13,915.50

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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.