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Finding the Fourth Proportional to 13,770.54, 20,652.12 and 5,977.50

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Solution

The fourth proportional to 13,770.54, 20,652.12 and 5,977.50 is: 8,964.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.54 : 20,652.12 = 5,977.50 : x
  2. Step 2: Convert to fraction form
    13,770.54/20,652.12 = 5,977.50/x
  3. Step 3: Cross multiply
    13,770.54x = 20,652.12 × 5,977.50
  4. Step 4: Simplify right side
    13,770.54x = 123,448,047.30
  5. Step 5: Solve for x
    x = 123,448,047.30/13,770.54
  6. Step 6: Final answer
    x = 8,964.65

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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.