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Finding the Fourth Proportional to 12,761.30, 19,134.11 and 4,961.02

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Solution

The fourth proportional to 12,761.30, 19,134.11 and 4,961.02 is: 7,438.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.30 : 19,134.11 = 4,961.02 : x
  2. Step 2: Convert to fraction form
    12,761.30/19,134.11 = 4,961.02/x
  3. Step 3: Cross multiply
    12,761.30x = 19,134.11 × 4,961.02
  4. Step 4: Simplify right side
    12,761.30x = 94,924,702.39
  5. Step 5: Solve for x
    x = 94,924,702.39/12,761.30
  6. Step 6: Final answer
    x = 7,438.48

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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.