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Finding the Fourth Proportional to 47,782.56, 71,675.10 and 12,722.28

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Solution

The fourth proportional to 47,782.56, 71,675.10 and 12,722.28 is: 19,083.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,782.56 : 71,675.10 = 12,722.28 : x
  2. Step 2: Convert to fraction form
    47,782.56/71,675.10 = 12,722.28/x
  3. Step 3: Cross multiply
    47,782.56x = 71,675.10 × 12,722.28
  4. Step 4: Simplify right side
    47,782.56x = 911,870,691.23
  5. Step 5: Solve for x
    x = 911,870,691.23/47,782.56
  6. Step 6: Final answer
    x = 19,083.76

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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.