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Finding the Fourth Proportional to 12,199.60, 18,337.80 and 11,969.20

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Solution

The fourth proportional to 12,199.60, 18,337.80 and 11,969.20 is: 17,991.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.60 : 18,337.80 = 11,969.20 : x
  2. Step 2: Convert to fraction form
    12,199.60/18,337.80 = 11,969.20/x
  3. Step 3: Cross multiply
    12,199.60x = 18,337.80 × 11,969.20
  4. Step 4: Simplify right side
    12,199.60x = 219,488,795.76
  5. Step 5: Solve for x
    x = 219,488,795.76/12,199.60
  6. Step 6: Final answer
    x = 17,991.47

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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.