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Finding the Fourth Proportional to 31,538, 47,307 and 10,761.50

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Solution

The fourth proportional to 31,538, 47,307 and 10,761.50 is: 16,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,538 : 47,307 = 10,761.50 : x
  2. Step 2: Convert to fraction form
    31,538/47,307 = 10,761.50/x
  3. Step 3: Cross multiply
    31,538x = 47,307 × 10,761.50
  4. Step 4: Simplify right side
    31,538x = 509,094,280.50
  5. Step 5: Solve for x
    x = 509,094,280.50/31,538
  6. Step 6: Final answer
    x = 16,142.25

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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.