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Finding the Fourth Proportional to 3,452.49, 5,178.60 and 987.26

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Solution

The fourth proportional to 3,452.49, 5,178.60 and 987.26 is: 1,480.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.49 : 5,178.60 = 987.26 : x
  2. Step 2: Convert to fraction form
    3,452.49/5,178.60 = 987.26/x
  3. Step 3: Cross multiply
    3,452.49x = 5,178.60 × 987.26
  4. Step 4: Simplify right side
    3,452.49x = 5,112,598.74
  5. Step 5: Solve for x
    x = 5,112,598.74/3,452.49
  6. Step 6: Final answer
    x = 1,480.84

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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.