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Finding the Fourth Proportional to 12,794.20, 17,652.25 and 7,488.02

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Solution

The fourth proportional to 12,794.20, 17,652.25 and 7,488.02 is: 10,331.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.20 : 17,652.25 = 7,488.02 : x
  2. Step 2: Convert to fraction form
    12,794.20/17,652.25 = 7,488.02/x
  3. Step 3: Cross multiply
    12,794.20x = 17,652.25 × 7,488.02
  4. Step 4: Simplify right side
    12,794.20x = 132,180,401.05
  5. Step 5: Solve for x
    x = 132,180,401.05/12,794.20
  6. Step 6: Final answer
    x = 10,331.28

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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.