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Finding the Fourth Proportional to 9,914.32, 14,889.99 and 8,728.78

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Solution

The fourth proportional to 9,914.32, 14,889.99 and 8,728.78 is: 13,109.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.32 : 14,889.99 = 8,728.78 : x
  2. Step 2: Convert to fraction form
    9,914.32/14,889.99 = 8,728.78/x
  3. Step 3: Cross multiply
    9,914.32x = 14,889.99 × 8,728.78
  4. Step 4: Simplify right side
    9,914.32x = 129,971,446.91
  5. Step 5: Solve for x
    x = 129,971,446.91/9,914.32
  6. Step 6: Final answer
    x = 13,109.47

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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.