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Finding the Fourth Proportional to 5,247.96, 7,871.04 and 1,960.17

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Solution

The fourth proportional to 5,247.96, 7,871.04 and 1,960.17 is: 2,939.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.96 : 7,871.04 = 1,960.17 : x
  2. Step 2: Convert to fraction form
    5,247.96/7,871.04 = 1,960.17/x
  3. Step 3: Cross multiply
    5,247.96x = 7,871.04 × 1,960.17
  4. Step 4: Simplify right side
    5,247.96x = 15,428,576.48
  5. Step 5: Solve for x
    x = 15,428,576.48/5,247.96
  6. Step 6: Final answer
    x = 2,939.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.