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Finding the Fourth Proportional to 47,872.41, 71,808.61 and 12,811.15

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Solution

The fourth proportional to 47,872.41, 71,808.61 and 12,811.15 is: 19,216.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,872.41 : 71,808.61 = 12,811.15 : x
  2. Step 2: Convert to fraction form
    47,872.41/71,808.61 = 12,811.15/x
  3. Step 3: Cross multiply
    47,872.41x = 71,808.61 × 12,811.15
  4. Step 4: Simplify right side
    47,872.41x = 919,950,955.76
  5. Step 5: Solve for x
    x = 919,950,955.76/47,872.41
  6. Step 6: Final answer
    x = 19,216.73

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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.