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Finding the Fourth Proportional to 5,406.62, 7,461.86 and 3,169.38

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Solution

The fourth proportional to 5,406.62, 7,461.86 and 3,169.38 is: 4,374.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.62 : 7,461.86 = 3,169.38 : x
  2. Step 2: Convert to fraction form
    5,406.62/7,461.86 = 3,169.38/x
  3. Step 3: Cross multiply
    5,406.62x = 7,461.86 × 3,169.38
  4. Step 4: Simplify right side
    5,406.62x = 23,649,505.75
  5. Step 5: Solve for x
    x = 23,649,505.75/5,406.62
  6. Step 6: Final answer
    x = 4,374.18

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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.