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Finding the Fourth Proportional to 13,178.56, 18,178.08 and 9,198.20

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Solution

The fourth proportional to 13,178.56, 18,178.08 and 9,198.20 is: 12,687.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.56 : 18,178.08 = 9,198.20 : x
  2. Step 2: Convert to fraction form
    13,178.56/18,178.08 = 9,198.20/x
  3. Step 3: Cross multiply
    13,178.56x = 18,178.08 × 9,198.20
  4. Step 4: Simplify right side
    13,178.56x = 167,205,615.46
  5. Step 5: Solve for x
    x = 167,205,615.46/13,178.56
  6. Step 6: Final answer
    x = 12,687.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.