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Finding the Fourth Proportional to 9,872.76, 14,817.33 and 7,814.25

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Solution

The fourth proportional to 9,872.76, 14,817.33 and 7,814.25 is: 11,727.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.76 : 14,817.33 = 7,814.25 : x
  2. Step 2: Convert to fraction form
    9,872.76/14,817.33 = 7,814.25/x
  3. Step 3: Cross multiply
    9,872.76x = 14,817.33 × 7,814.25
  4. Step 4: Simplify right side
    9,872.76x = 115,786,320.95
  5. Step 5: Solve for x
    x = 115,786,320.95/9,872.76
  6. Step 6: Final answer
    x = 11,727.86

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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.