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Finding the Fourth Proportional to 47,644.68, 71,472.66 and 12,584.64

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Solution

The fourth proportional to 47,644.68, 71,472.66 and 12,584.64 is: 18,878.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,644.68 : 71,472.66 = 12,584.64 : x
  2. Step 2: Convert to fraction form
    47,644.68/71,472.66 = 12,584.64/x
  3. Step 3: Cross multiply
    47,644.68x = 71,472.66 × 12,584.64
  4. Step 4: Simplify right side
    47,644.68x = 899,457,695.94
  5. Step 5: Solve for x
    x = 899,457,695.94/47,644.68
  6. Step 6: Final answer
    x = 18,878.45

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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.