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Finding the Fourth Proportional to 12,775.20, 17,629.75 and 7,186.20

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Solution

The fourth proportional to 12,775.20, 17,629.75 and 7,186.20 is: 9,916.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.20 : 17,629.75 = 7,186.20 : x
  2. Step 2: Convert to fraction form
    12,775.20/17,629.75 = 7,186.20/x
  3. Step 3: Cross multiply
    12,775.20x = 17,629.75 × 7,186.20
  4. Step 4: Simplify right side
    12,775.20x = 126,690,909.45
  5. Step 5: Solve for x
    x = 126,690,909.45/12,775.20
  6. Step 6: Final answer
    x = 9,916.94

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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.