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Finding the Fourth Proportional to 2,585.63, 3,878.57 and 736.88

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Solution

The fourth proportional to 2,585.63, 3,878.57 and 736.88 is: 1,105.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.63 : 3,878.57 = 736.88 : x
  2. Step 2: Convert to fraction form
    2,585.63/3,878.57 = 736.88/x
  3. Step 3: Cross multiply
    2,585.63x = 3,878.57 × 736.88
  4. Step 4: Simplify right side
    2,585.63x = 2,858,017.58
  5. Step 5: Solve for x
    x = 2,858,017.58/2,585.63
  6. Step 6: Final answer
    x = 1,105.35

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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.