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Finding the Fourth Proportional to 3,453.12, 5,178.80 and 987.95

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Solution

The fourth proportional to 3,453.12, 5,178.80 and 987.95 is: 1,481.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.12 : 5,178.80 = 987.95 : x
  2. Step 2: Convert to fraction form
    3,453.12/5,178.80 = 987.95/x
  3. Step 3: Cross multiply
    3,453.12x = 5,178.80 × 987.95
  4. Step 4: Simplify right side
    3,453.12x = 5,116,395.46
  5. Step 5: Solve for x
    x = 5,116,395.46/3,453.12
  6. Step 6: Final answer
    x = 1,481.67

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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.