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Finding the Fourth Proportional to 9,862, 14,785.70 and 5,965.54

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Solution

The fourth proportional to 9,862, 14,785.70 and 5,965.54 is: 8,943.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862 : 14,785.70 = 5,965.54 : x
  2. Step 2: Convert to fraction form
    9,862/14,785.70 = 5,965.54/x
  3. Step 3: Cross multiply
    9,862x = 14,785.70 × 5,965.54
  4. Step 4: Simplify right side
    9,862x = 88,204,684.78
  5. Step 5: Solve for x
    x = 88,204,684.78/9,862
  6. Step 6: Final answer
    x = 8,943.89

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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.