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Finding the Fourth Proportional to 2,589.12, 3,883.68 and 740.22

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Solution

The fourth proportional to 2,589.12, 3,883.68 and 740.22 is: 1,110.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.12 : 3,883.68 = 740.22 : x
  2. Step 2: Convert to fraction form
    2,589.12/3,883.68 = 740.22/x
  3. Step 3: Cross multiply
    2,589.12x = 3,883.68 × 740.22
  4. Step 4: Simplify right side
    2,589.12x = 2,874,777.61
  5. Step 5: Solve for x
    x = 2,874,777.61/2,589.12
  6. Step 6: Final answer
    x = 1,110.33

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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.