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Finding the Fourth Proportional to 42,811.92, 64,218.06 and 11,647.14

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Solution

The fourth proportional to 42,811.92, 64,218.06 and 11,647.14 is: 17,470.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,811.92 : 64,218.06 = 11,647.14 : x
  2. Step 2: Convert to fraction form
    42,811.92/64,218.06 = 11,647.14/x
  3. Step 3: Cross multiply
    42,811.92x = 64,218.06 × 11,647.14
  4. Step 4: Simplify right side
    42,811.92x = 747,956,735.35
  5. Step 5: Solve for x
    x = 747,956,735.35/42,811.92
  6. Step 6: Final answer
    x = 17,470.76

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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.