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Finding the Fourth Proportional to 12,572.72, 17,351.16 and 7,268.84

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Solution

The fourth proportional to 12,572.72, 17,351.16 and 7,268.84 is: 10,031.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,572.72 : 17,351.16 = 7,268.84 : x
  2. Step 2: Convert to fraction form
    12,572.72/17,351.16 = 7,268.84/x
  3. Step 3: Cross multiply
    12,572.72x = 17,351.16 × 7,268.84
  4. Step 4: Simplify right side
    12,572.72x = 126,122,805.85
  5. Step 5: Solve for x
    x = 126,122,805.85/12,572.72
  6. Step 6: Final answer
    x = 10,031.47

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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.