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Finding the Fourth Proportional to 7,149.49, 9,865.50 and 4,164.70

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Solution

The fourth proportional to 7,149.49, 9,865.50 and 4,164.70 is: 5,746.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.49 : 9,865.50 = 4,164.70 : x
  2. Step 2: Convert to fraction form
    7,149.49/9,865.50 = 4,164.70/x
  3. Step 3: Cross multiply
    7,149.49x = 9,865.50 × 4,164.70
  4. Step 4: Simplify right side
    7,149.49x = 41,086,847.85
  5. Step 5: Solve for x
    x = 41,086,847.85/7,149.49
  6. Step 6: Final answer
    x = 5,746.82

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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.