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Finding the Fourth Proportional to 10,872.85, 15,004.10 and 6,157.14

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Solution

The fourth proportional to 10,872.85, 15,004.10 and 6,157.14 is: 8,496.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.85 : 15,004.10 = 6,157.14 : x
  2. Step 2: Convert to fraction form
    10,872.85/15,004.10 = 6,157.14/x
  3. Step 3: Cross multiply
    10,872.85x = 15,004.10 × 6,157.14
  4. Step 4: Simplify right side
    10,872.85x = 92,382,344.27
  5. Step 5: Solve for x
    x = 92,382,344.27/10,872.85
  6. Step 6: Final answer
    x = 8,496.61

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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.