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Finding the Fourth Proportional to 10,082, 13,876.44 and 8,879.10

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Solution

The fourth proportional to 10,082, 13,876.44 and 8,879.10 is: 12,220.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082 : 13,876.44 = 8,879.10 : x
  2. Step 2: Convert to fraction form
    10,082/13,876.44 = 8,879.10/x
  3. Step 3: Cross multiply
    10,082x = 13,876.44 × 8,879.10
  4. Step 4: Simplify right side
    10,082x = 123,210,298.40
  5. Step 5: Solve for x
    x = 123,210,298.40/10,082
  6. Step 6: Final answer
    x = 12,220.82

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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.