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Finding the Fourth Proportional to 47,409.78, 65,372.49 and 38,769.11

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Solution

The fourth proportional to 47,409.78, 65,372.49 and 38,769.11 is: 53,458.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,409.78 : 65,372.49 = 38,769.11 : x
  2. Step 2: Convert to fraction form
    47,409.78/65,372.49 = 38,769.11/x
  3. Step 3: Cross multiply
    47,409.78x = 65,372.49 × 38,769.11
  4. Step 4: Simplify right side
    47,409.78x = 2,534,432,928.92
  5. Step 5: Solve for x
    x = 2,534,432,928.92/47,409.78
  6. Step 6: Final answer
    x = 53,458.02

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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.