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Finding the Fourth Proportional to 9,864, 14,771.97 and 5,187.87

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Solution

The fourth proportional to 9,864, 14,771.97 and 5,187.87 is: 7,769.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864 : 14,771.97 = 5,187.87 : x
  2. Step 2: Convert to fraction form
    9,864/14,771.97 = 5,187.87/x
  3. Step 3: Cross multiply
    9,864x = 14,771.97 × 5,187.87
  4. Step 4: Simplify right side
    9,864x = 76,635,060.00
  5. Step 5: Solve for x
    x = 76,635,060.00/9,864
  6. Step 6: Final answer
    x = 7,769.17

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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.