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Finding the Fourth Proportional to 2,261.98, 3,393.42 and 781.26

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Solution

The fourth proportional to 2,261.98, 3,393.42 and 781.26 is: 1,172.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.98 : 3,393.42 = 781.26 : x
  2. Step 2: Convert to fraction form
    2,261.98/3,393.42 = 781.26/x
  3. Step 3: Cross multiply
    2,261.98x = 3,393.42 × 781.26
  4. Step 4: Simplify right side
    2,261.98x = 2,651,135.71
  5. Step 5: Solve for x
    x = 2,651,135.71/2,261.98
  6. Step 6: Final answer
    x = 1,172.04

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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.