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Finding the Fourth Proportional to 42,765.74, 64,148.62 and 11,601

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Solution

The fourth proportional to 42,765.74, 64,148.62 and 11,601 is: 17,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,765.74 : 64,148.62 = 11,601 : x
  2. Step 2: Convert to fraction form
    42,765.74/64,148.62 = 11,601/x
  3. Step 3: Cross multiply
    42,765.74x = 64,148.62 × 11,601
  4. Step 4: Simplify right side
    42,765.74x = 744,188,140.62
  5. Step 5: Solve for x
    x = 744,188,140.62/42,765.74
  6. Step 6: Final answer
    x = 17,401.50

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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.