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Finding the Fourth Proportional to 2,656.27, 3,984.66 and 968.12

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Solution

The fourth proportional to 2,656.27, 3,984.66 and 968.12 is: 1,452.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.27 : 3,984.66 = 968.12 : x
  2. Step 2: Convert to fraction form
    2,656.27/3,984.66 = 968.12/x
  3. Step 3: Cross multiply
    2,656.27x = 3,984.66 × 968.12
  4. Step 4: Simplify right side
    2,656.27x = 3,857,624.20
  5. Step 5: Solve for x
    x = 3,857,624.20/2,656.27
  6. Step 6: Final answer
    x = 1,452.27

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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.