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Finding the Fourth Proportional to 2,585.34, 3,878.19 and 736.60

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Solution

The fourth proportional to 2,585.34, 3,878.19 and 736.60 is: 1,104.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.34 : 3,878.19 = 736.60 : x
  2. Step 2: Convert to fraction form
    2,585.34/3,878.19 = 736.60/x
  3. Step 3: Cross multiply
    2,585.34x = 3,878.19 × 736.60
  4. Step 4: Simplify right side
    2,585.34x = 2,856,671.07
  5. Step 5: Solve for x
    x = 2,856,671.07/2,585.34
  6. Step 6: Final answer
    x = 1,104.95

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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.