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Finding the Fourth Proportional to 5,387.70, 8,084.70 and 2,267.50

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Solution

The fourth proportional to 5,387.70, 8,084.70 and 2,267.50 is: 3,402.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387.70 : 8,084.70 = 2,267.50 : x
  2. Step 2: Convert to fraction form
    5,387.70/8,084.70 = 2,267.50/x
  3. Step 3: Cross multiply
    5,387.70x = 8,084.70 × 2,267.50
  4. Step 4: Simplify right side
    5,387.70x = 18,332,057.25
  5. Step 5: Solve for x
    x = 18,332,057.25/5,387.70
  6. Step 6: Final answer
    x = 3,402.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.