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Finding the Fourth Proportional to 47,578, 65,657.64 and 28,715.12

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Solution

The fourth proportional to 47,578, 65,657.64 and 28,715.12 is: 39,626.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,578 : 65,657.64 = 28,715.12 : x
  2. Step 2: Convert to fraction form
    47,578/65,657.64 = 28,715.12/x
  3. Step 3: Cross multiply
    47,578x = 65,657.64 × 28,715.12
  4. Step 4: Simplify right side
    47,578x = 1,885,367,011.52
  5. Step 5: Solve for x
    x = 1,885,367,011.52/47,578
  6. Step 6: Final answer
    x = 39,626.87

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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.