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Finding the Fourth Proportional to 5,895.28, 8,142.42 and 4,309.12

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Solution

The fourth proportional to 5,895.28, 8,142.42 and 4,309.12 is: 5,951.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.28 : 8,142.42 = 4,309.12 : x
  2. Step 2: Convert to fraction form
    5,895.28/8,142.42 = 4,309.12/x
  3. Step 3: Cross multiply
    5,895.28x = 8,142.42 × 4,309.12
  4. Step 4: Simplify right side
    5,895.28x = 35,086,664.87
  5. Step 5: Solve for x
    x = 35,086,664.87/5,895.28
  6. Step 6: Final answer
    x = 5,951.65

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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.