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Finding the Fourth Proportional to 3,452.95, 5,178.68 and 987.11

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Solution

The fourth proportional to 3,452.95, 5,178.68 and 987.11 is: 1,480.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.95 : 5,178.68 = 987.11 : x
  2. Step 2: Convert to fraction form
    3,452.95/5,178.68 = 987.11/x
  3. Step 3: Cross multiply
    3,452.95x = 5,178.68 × 987.11
  4. Step 4: Simplify right side
    3,452.95x = 5,111,895.99
  5. Step 5: Solve for x
    x = 5,111,895.99/3,452.95
  6. Step 6: Final answer
    x = 1,480.44

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Double scale
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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.