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Finding the Fourth Proportional to 62,974.11, 86,904.86 and 34,680

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Solution

The fourth proportional to 62,974.11, 86,904.86 and 34,680 is: 47,858.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,974.11 : 86,904.86 = 34,680 : x
  2. Step 2: Convert to fraction form
    62,974.11/86,904.86 = 34,680/x
  3. Step 3: Cross multiply
    62,974.11x = 86,904.86 × 34,680
  4. Step 4: Simplify right side
    62,974.11x = 3,013,860,544.80
  5. Step 5: Solve for x
    x = 3,013,860,544.80/62,974.11
  6. Step 6: Final answer
    x = 47,858.72

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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.