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Finding the Fourth Proportional to 5,642.68, 8,461.68 and 2,132.08

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Solution

The fourth proportional to 5,642.68, 8,461.68 and 2,132.08 is: 3,197.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.68 : 8,461.68 = 2,132.08 : x
  2. Step 2: Convert to fraction form
    5,642.68/8,461.68 = 2,132.08/x
  3. Step 3: Cross multiply
    5,642.68x = 8,461.68 × 2,132.08
  4. Step 4: Simplify right side
    5,642.68x = 18,040,978.69
  5. Step 5: Solve for x
    x = 18,040,978.69/5,642.68
  6. Step 6: Final answer
    x = 3,197.24

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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.