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Finding the Fourth Proportional to 11,876, 16,387.46 and 6,570.10

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Solution

The fourth proportional to 11,876, 16,387.46 and 6,570.10 is: 9,065.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876 : 16,387.46 = 6,570.10 : x
  2. Step 2: Convert to fraction form
    11,876/16,387.46 = 6,570.10/x
  3. Step 3: Cross multiply
    11,876x = 16,387.46 × 6,570.10
  4. Step 4: Simplify right side
    11,876x = 107,667,250.95
  5. Step 5: Solve for x
    x = 107,667,250.95/11,876
  6. Step 6: Final answer
    x = 9,065.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.