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Finding the Fourth Proportional to 7,982.31, 10,999.89 and 7,785.48

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Solution

The fourth proportional to 7,982.31, 10,999.89 and 7,785.48 is: 10,728.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.31 : 10,999.89 = 7,785.48 : x
  2. Step 2: Convert to fraction form
    7,982.31/10,999.89 = 7,785.48/x
  3. Step 3: Cross multiply
    7,982.31x = 10,999.89 × 7,785.48
  4. Step 4: Simplify right side
    7,982.31x = 85,639,423.60
  5. Step 5: Solve for x
    x = 85,639,423.60/7,982.31
  6. Step 6: Final answer
    x = 10,728.65

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1.5x scale

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.