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Finding the Fourth Proportional to 3,089.76, 4,634.62 and 781.26

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Solution

The fourth proportional to 3,089.76, 4,634.62 and 781.26 is: 1,171.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.76 : 4,634.62 = 781.26 : x
  2. Step 2: Convert to fraction form
    3,089.76/4,634.62 = 781.26/x
  3. Step 3: Cross multiply
    3,089.76x = 4,634.62 × 781.26
  4. Step 4: Simplify right side
    3,089.76x = 3,620,843.22
  5. Step 5: Solve for x
    x = 3,620,843.22/3,089.76
  6. Step 6: Final answer
    x = 1,171.88

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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.