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Finding the Fourth Proportional to 1,883.96, 2,599.38 and 1,255.40

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Solution

The fourth proportional to 1,883.96, 2,599.38 and 1,255.40 is: 1,732.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.96 : 2,599.38 = 1,255.40 : x
  2. Step 2: Convert to fraction form
    1,883.96/2,599.38 = 1,255.40/x
  3. Step 3: Cross multiply
    1,883.96x = 2,599.38 × 1,255.40
  4. Step 4: Simplify right side
    1,883.96x = 3,263,261.65
  5. Step 5: Solve for x
    x = 3,263,261.65/1,883.96
  6. Step 6: Final answer
    x = 1,732.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.