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Finding the Fourth Proportional to 12,872.22, 17,763.59 and 7,206.95

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Solution

The fourth proportional to 12,872.22, 17,763.59 and 7,206.95 is: 9,945.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.22 : 17,763.59 = 7,206.95 : x
  2. Step 2: Convert to fraction form
    12,872.22/17,763.59 = 7,206.95/x
  3. Step 3: Cross multiply
    12,872.22x = 17,763.59 × 7,206.95
  4. Step 4: Simplify right side
    12,872.22x = 128,021,180.10
  5. Step 5: Solve for x
    x = 128,021,180.10/12,872.22
  6. Step 6: Final answer
    x = 9,945.54

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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.