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Finding the Fourth Proportional to 2,613.21, 3,917.07 and 968.70

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Solution

The fourth proportional to 2,613.21, 3,917.07 and 968.70 is: 1,452.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.21 : 3,917.07 = 968.70 : x
  2. Step 2: Convert to fraction form
    2,613.21/3,917.07 = 968.70/x
  3. Step 3: Cross multiply
    2,613.21x = 3,917.07 × 968.70
  4. Step 4: Simplify right side
    2,613.21x = 3,794,465.71
  5. Step 5: Solve for x
    x = 3,794,465.71/2,613.21
  6. Step 6: Final answer
    x = 1,452.03

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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.