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Finding the Fourth Proportional to 10,299.87, 15,412.89 and 8,917.97

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Solution

The fourth proportional to 10,299.87, 15,412.89 and 8,917.97 is: 13,344.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.87 : 15,412.89 = 8,917.97 : x
  2. Step 2: Convert to fraction form
    10,299.87/15,412.89 = 8,917.97/x
  3. Step 3: Cross multiply
    10,299.87x = 15,412.89 × 8,917.97
  4. Step 4: Simplify right side
    10,299.87x = 137,451,690.63
  5. Step 5: Solve for x
    x = 137,451,690.63/10,299.87
  6. Step 6: Final answer
    x = 13,344.99

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1.5x scale

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.