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Finding the Fourth Proportional to 5,700.68, 7,859.94 and 4,128.20

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Solution

The fourth proportional to 5,700.68, 7,859.94 and 4,128.20 is: 5,691.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.68 : 7,859.94 = 4,128.20 : x
  2. Step 2: Convert to fraction form
    5,700.68/7,859.94 = 4,128.20/x
  3. Step 3: Cross multiply
    5,700.68x = 7,859.94 × 4,128.20
  4. Step 4: Simplify right side
    5,700.68x = 32,447,404.31
  5. Step 5: Solve for x
    x = 32,447,404.31/5,700.68
  6. Step 6: Final answer
    x = 5,691.85

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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.