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Finding the Fourth Proportional to 9,205.65, 12,617.78 and 8,873.15

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Solution

The fourth proportional to 9,205.65, 12,617.78 and 8,873.15 is: 12,162.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.65 : 12,617.78 = 8,873.15 : x
  2. Step 2: Convert to fraction form
    9,205.65/12,617.78 = 8,873.15/x
  3. Step 3: Cross multiply
    9,205.65x = 12,617.78 × 8,873.15
  4. Step 4: Simplify right side
    9,205.65x = 111,959,347.15
  5. Step 5: Solve for x
    x = 111,959,347.15/9,205.65
  6. Step 6: Final answer
    x = 12,162.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.