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Finding the Fourth Proportional to 3,868.40, 5,801.24 and 1,402.80

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Solution

The fourth proportional to 3,868.40, 5,801.24 and 1,402.80 is: 2,103.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.40 : 5,801.24 = 1,402.80 : x
  2. Step 2: Convert to fraction form
    3,868.40/5,801.24 = 1,402.80/x
  3. Step 3: Cross multiply
    3,868.40x = 5,801.24 × 1,402.80
  4. Step 4: Simplify right side
    3,868.40x = 8,137,979.47
  5. Step 5: Solve for x
    x = 8,137,979.47/3,868.40
  6. Step 6: Final answer
    x = 2,103.71

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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.