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Finding the Fourth Proportional to 3,465.28, 5,197.80 and 868.20

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Solution

The fourth proportional to 3,465.28, 5,197.80 and 868.20 is: 1,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.28 : 5,197.80 = 868.20 : x
  2. Step 2: Convert to fraction form
    3,465.28/5,197.80 = 868.20/x
  3. Step 3: Cross multiply
    3,465.28x = 5,197.80 × 868.20
  4. Step 4: Simplify right side
    3,465.28x = 4,512,729.96
  5. Step 5: Solve for x
    x = 4,512,729.96/3,465.28
  6. Step 6: Final answer
    x = 1,302.27

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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.