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Finding the Fourth Proportional to 7,142.42, 9,856.80 and 3,998.42

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Solution

The fourth proportional to 7,142.42, 9,856.80 and 3,998.42 is: 5,517.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.42 : 9,856.80 = 3,998.42 : x
  2. Step 2: Convert to fraction form
    7,142.42/9,856.80 = 3,998.42/x
  3. Step 3: Cross multiply
    7,142.42x = 9,856.80 × 3,998.42
  4. Step 4: Simplify right side
    7,142.42x = 39,411,626.26
  5. Step 5: Solve for x
    x = 39,411,626.26/7,142.42
  6. Step 6: Final answer
    x = 5,517.97

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Half scale
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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.