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Finding the Fourth Proportional to 7,142.54, 9,856.64 and 3,998.78

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Solution

The fourth proportional to 7,142.54, 9,856.64 and 3,998.78 is: 5,518.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.54 : 9,856.64 = 3,998.78 : x
  2. Step 2: Convert to fraction form
    7,142.54/9,856.64 = 3,998.78/x
  3. Step 3: Cross multiply
    7,142.54x = 9,856.64 × 3,998.78
  4. Step 4: Simplify right side
    7,142.54x = 39,414,534.90
  5. Step 5: Solve for x
    x = 39,414,534.90/7,142.54
  6. Step 6: Final answer
    x = 5,518.28

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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.