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Finding the Fourth Proportional to 9,765.81, 14,650.89 and 5,381.01

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Solution

The fourth proportional to 9,765.81, 14,650.89 and 5,381.01 is: 8,072.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.81 : 14,650.89 = 5,381.01 : x
  2. Step 2: Convert to fraction form
    9,765.81/14,650.89 = 5,381.01/x
  3. Step 3: Cross multiply
    9,765.81x = 14,650.89 × 5,381.01
  4. Step 4: Simplify right side
    9,765.81x = 78,836,585.60
  5. Step 5: Solve for x
    x = 78,836,585.60/9,765.81
  6. Step 6: Final answer
    x = 8,072.71

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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.