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Finding the Fourth Proportional to 34,961.78, 52,411.17 and 12,759.57

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Solution

The fourth proportional to 34,961.78, 52,411.17 and 12,759.57 is: 19,127.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,961.78 : 52,411.17 = 12,759.57 : x
  2. Step 2: Convert to fraction form
    34,961.78/52,411.17 = 12,759.57/x
  3. Step 3: Cross multiply
    34,961.78x = 52,411.17 × 12,759.57
  4. Step 4: Simplify right side
    34,961.78x = 668,744,236.79
  5. Step 5: Solve for x
    x = 668,744,236.79/34,961.78
  6. Step 6: Final answer
    x = 19,127.87

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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.