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Finding the Fourth Proportional to 12,806.86, 17,680.44 and 8,849.28

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Solution

The fourth proportional to 12,806.86, 17,680.44 and 8,849.28 is: 12,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.86 : 17,680.44 = 8,849.28 : x
  2. Step 2: Convert to fraction form
    12,806.86/17,680.44 = 8,849.28/x
  3. Step 3: Cross multiply
    12,806.86x = 17,680.44 × 8,849.28
  4. Step 4: Simplify right side
    12,806.86x = 156,459,164.08
  5. Step 5: Solve for x
    x = 156,459,164.08/12,806.86
  6. Step 6: Final answer
    x = 12,216.82

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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.