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Finding the Fourth Proportional to 10,114.70, 15,178.12 and 8,041.91

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Solution

The fourth proportional to 10,114.70, 15,178.12 and 8,041.91 is: 12,067.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.70 : 15,178.12 = 8,041.91 : x
  2. Step 2: Convert to fraction form
    10,114.70/15,178.12 = 8,041.91/x
  3. Step 3: Cross multiply
    10,114.70x = 15,178.12 × 8,041.91
  4. Step 4: Simplify right side
    10,114.70x = 122,060,979.01
  5. Step 5: Solve for x
    x = 122,060,979.01/10,114.70
  6. Step 6: Final answer
    x = 12,067.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.