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Finding the Fourth Proportional to 7,102.44, 9,789.12 and 5,330.97

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Solution

The fourth proportional to 7,102.44, 9,789.12 and 5,330.97 is: 7,347.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.44 : 9,789.12 = 5,330.97 : x
  2. Step 2: Convert to fraction form
    7,102.44/9,789.12 = 5,330.97/x
  3. Step 3: Cross multiply
    7,102.44x = 9,789.12 × 5,330.97
  4. Step 4: Simplify right side
    7,102.44x = 52,185,505.05
  5. Step 5: Solve for x
    x = 52,185,505.05/7,102.44
  6. Step 6: Final answer
    x = 7,347.55

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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.