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Finding the Fourth Proportional to 9,884.50, 13,640.61 and 6,158.50

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Solution

The fourth proportional to 9,884.50, 13,640.61 and 6,158.50 is: 8,498.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.50 : 13,640.61 = 6,158.50 : x
  2. Step 2: Convert to fraction form
    9,884.50/13,640.61 = 6,158.50/x
  3. Step 3: Cross multiply
    9,884.50x = 13,640.61 × 6,158.50
  4. Step 4: Simplify right side
    9,884.50x = 84,005,696.69
  5. Step 5: Solve for x
    x = 84,005,696.69/9,884.50
  6. Step 6: Final answer
    x = 8,498.73

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Why These Related Problems?

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