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Finding the Fourth Proportional to 10,876.95, 15,019.97 and 8,219.75

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Solution

The fourth proportional to 10,876.95, 15,019.97 and 8,219.75 is: 11,350.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.95 : 15,019.97 = 8,219.75 : x
  2. Step 2: Convert to fraction form
    10,876.95/15,019.97 = 8,219.75/x
  3. Step 3: Cross multiply
    10,876.95x = 15,019.97 × 8,219.75
  4. Step 4: Simplify right side
    10,876.95x = 123,460,282.21
  5. Step 5: Solve for x
    x = 123,460,282.21/10,876.95
  6. Step 6: Final answer
    x = 11,350.63

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1.5x scale

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.