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Finding the Fourth Proportional to 12,101.38, 18,156.76 and 4,711.02

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Solution

The fourth proportional to 12,101.38, 18,156.76 and 4,711.02 is: 7,068.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.38 : 18,156.76 = 4,711.02 : x
  2. Step 2: Convert to fraction form
    12,101.38/18,156.76 = 4,711.02/x
  3. Step 3: Cross multiply
    12,101.38x = 18,156.76 × 4,711.02
  4. Step 4: Simplify right side
    12,101.38x = 85,536,859.50
  5. Step 5: Solve for x
    x = 85,536,859.50/12,101.38
  6. Step 6: Final answer
    x = 7,068.36

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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.