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Finding the Fourth Proportional to 5,909.70, 8,160.66 and 5,629.62

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Solution

The fourth proportional to 5,909.70, 8,160.66 and 5,629.62 is: 7,773.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.70 : 8,160.66 = 5,629.62 : x
  2. Step 2: Convert to fraction form
    5,909.70/8,160.66 = 5,629.62/x
  3. Step 3: Cross multiply
    5,909.70x = 8,160.66 × 5,629.62
  4. Step 4: Simplify right side
    5,909.70x = 45,941,414.75
  5. Step 5: Solve for x
    x = 45,941,414.75/5,909.70
  6. Step 6: Final answer
    x = 7,773.90

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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.