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Finding the Fourth Proportional to 8,138.40, 11,230.38 and 5,489.40

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Solution

The fourth proportional to 8,138.40, 11,230.38 and 5,489.40 is: 7,574.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.40 : 11,230.38 = 5,489.40 : x
  2. Step 2: Convert to fraction form
    8,138.40/11,230.38 = 5,489.40/x
  3. Step 3: Cross multiply
    8,138.40x = 11,230.38 × 5,489.40
  4. Step 4: Simplify right side
    8,138.40x = 61,648,047.97
  5. Step 5: Solve for x
    x = 61,648,047.97/8,138.40
  6. Step 6: Final answer
    x = 7,574.96

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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.