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Finding the Fourth Proportional to 10,297.87, 15,409.89 and 8,915.97

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Solution

The fourth proportional to 10,297.87, 15,409.89 and 8,915.97 is: 13,341.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.87 : 15,409.89 = 8,915.97 : x
  2. Step 2: Convert to fraction form
    10,297.87/15,409.89 = 8,915.97/x
  3. Step 3: Cross multiply
    10,297.87x = 15,409.89 × 8,915.97
  4. Step 4: Simplify right side
    10,297.87x = 137,394,116.94
  5. Step 5: Solve for x
    x = 137,394,116.94/10,297.87
  6. Step 6: Final answer
    x = 13,341.99

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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.