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Finding the Fourth Proportional to 12,884.01, 17,781.36 and 7,219.68

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Solution

The fourth proportional to 12,884.01, 17,781.36 and 7,219.68 is: 9,963.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.01 : 17,781.36 = 7,219.68 : x
  2. Step 2: Convert to fraction form
    12,884.01/17,781.36 = 7,219.68/x
  3. Step 3: Cross multiply
    12,884.01x = 17,781.36 × 7,219.68
  4. Step 4: Simplify right side
    12,884.01x = 128,375,729.16
  5. Step 5: Solve for x
    x = 128,375,729.16/12,884.01
  6. Step 6: Final answer
    x = 9,963.96

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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.