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Finding the Fourth Proportional to 47,872.74, 71,809.10 and 12,811.48

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Solution

The fourth proportional to 47,872.74, 71,809.10 and 12,811.48 is: 19,217.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,872.74 : 71,809.10 = 12,811.48 : x
  2. Step 2: Convert to fraction form
    47,872.74/71,809.10 = 12,811.48/x
  3. Step 3: Cross multiply
    47,872.74x = 71,809.10 × 12,811.48
  4. Step 4: Simplify right side
    47,872.74x = 919,980,848.47
  5. Step 5: Solve for x
    x = 919,980,848.47/47,872.74
  6. Step 6: Final answer
    x = 19,217.22

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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.