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Finding the Fourth Proportional to 12,195.01, 16,820.40 and 7,938.24

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Solution

The fourth proportional to 12,195.01, 16,820.40 and 7,938.24 is: 10,949.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.01 : 16,820.40 = 7,938.24 : x
  2. Step 2: Convert to fraction form
    12,195.01/16,820.40 = 7,938.24/x
  3. Step 3: Cross multiply
    12,195.01x = 16,820.40 × 7,938.24
  4. Step 4: Simplify right side
    12,195.01x = 133,524,372.10
  5. Step 5: Solve for x
    x = 133,524,372.10/12,195.01
  6. Step 6: Final answer
    x = 10,949.10

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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.