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Finding the Fourth Proportional to 47,318.52, 65,310.96 and 28,452

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Solution

The fourth proportional to 47,318.52, 65,310.96 and 28,452 is: 39,270.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,318.52 : 65,310.96 = 28,452 : x
  2. Step 2: Convert to fraction form
    47,318.52/65,310.96 = 28,452/x
  3. Step 3: Cross multiply
    47,318.52x = 65,310.96 × 28,452
  4. Step 4: Simplify right side
    47,318.52x = 1,858,227,433.92
  5. Step 5: Solve for x
    x = 1,858,227,433.92/47,318.52
  6. Step 6: Final answer
    x = 39,270.62

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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.