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Finding the Fourth Proportional to 47,817, 71,737.02 and 14,985

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Solution

The fourth proportional to 47,817, 71,737.02 and 14,985 is: 22,481.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,817 : 71,737.02 = 14,985 : x
  2. Step 2: Convert to fraction form
    47,817/71,737.02 = 14,985/x
  3. Step 3: Cross multiply
    47,817x = 71,737.02 × 14,985
  4. Step 4: Simplify right side
    47,817x = 1,074,979,244.70
  5. Step 5: Solve for x
    x = 1,074,979,244.70/47,817
  6. Step 6: Final answer
    x = 22,481.11

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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.