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Finding the Fourth Proportional to 2,613.57, 3,920.48 and 858.75

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Solution

The fourth proportional to 2,613.57, 3,920.48 and 858.75 is: 1,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.57 : 3,920.48 = 858.75 : x
  2. Step 2: Convert to fraction form
    2,613.57/3,920.48 = 858.75/x
  3. Step 3: Cross multiply
    2,613.57x = 3,920.48 × 858.75
  4. Step 4: Simplify right side
    2,613.57x = 3,366,712.20
  5. Step 5: Solve for x
    x = 3,366,712.20/2,613.57
  6. Step 6: Final answer
    x = 1,288.17

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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.