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Finding the Fourth Proportional to 2,159.85, 3,240.19 and 843.55

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Solution

The fourth proportional to 2,159.85, 3,240.19 and 843.55 is: 1,265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.85 : 3,240.19 = 843.55 : x
  2. Step 2: Convert to fraction form
    2,159.85/3,240.19 = 843.55/x
  3. Step 3: Cross multiply
    2,159.85x = 3,240.19 × 843.55
  4. Step 4: Simplify right side
    2,159.85x = 2,733,255.23
  5. Step 5: Solve for x
    x = 2,733,255.23/2,159.85
  6. Step 6: Final answer
    x = 1,265.48

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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.