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Finding the Fourth Proportional to 9,865.31, 13,613.78 and 5,884.35

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Solution

The fourth proportional to 9,865.31, 13,613.78 and 5,884.35 is: 8,120.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.31 : 13,613.78 = 5,884.35 : x
  2. Step 2: Convert to fraction form
    9,865.31/13,613.78 = 5,884.35/x
  3. Step 3: Cross multiply
    9,865.31x = 13,613.78 × 5,884.35
  4. Step 4: Simplify right side
    9,865.31x = 80,108,216.92
  5. Step 5: Solve for x
    x = 80,108,216.92/9,865.31
  6. Step 6: Final answer
    x = 8,120.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.