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Finding the Fourth Proportional to 34,559, 47,691.42 and 19,655

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Solution

The fourth proportional to 34,559, 47,691.42 and 19,655 is: 27,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,559 : 47,691.42 = 19,655 : x
  2. Step 2: Convert to fraction form
    34,559/47,691.42 = 19,655/x
  3. Step 3: Cross multiply
    34,559x = 47,691.42 × 19,655
  4. Step 4: Simplify right side
    34,559x = 937,374,860.10
  5. Step 5: Solve for x
    x = 937,374,860.10/34,559
  6. Step 6: Final answer
    x = 27,123.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.