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Finding the Fourth Proportional to 47,829.07, 71,738.16 and 12,766

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Solution

The fourth proportional to 47,829.07, 71,738.16 and 12,766 is: 19,147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,829.07 : 71,738.16 = 12,766 : x
  2. Step 2: Convert to fraction form
    47,829.07/71,738.16 = 12,766/x
  3. Step 3: Cross multiply
    47,829.07x = 71,738.16 × 12,766
  4. Step 4: Simplify right side
    47,829.07x = 915,809,350.56
  5. Step 5: Solve for x
    x = 915,809,350.56/47,829.07
  6. Step 6: Final answer
    x = 19,147.55

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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.