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Finding the Fourth Proportional to 8,783.04, 12,105.92 and 7,286.16

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Solution

The fourth proportional to 8,783.04, 12,105.92 and 7,286.16 is: 10,042.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,783.04 : 12,105.92 = 7,286.16 : x
  2. Step 2: Convert to fraction form
    8,783.04/12,105.92 = 7,286.16/x
  3. Step 3: Cross multiply
    8,783.04x = 12,105.92 × 7,286.16
  4. Step 4: Simplify right side
    8,783.04x = 88,205,670.07
  5. Step 5: Solve for x
    x = 88,205,670.07/8,783.04
  6. Step 6: Final answer
    x = 10,042.73

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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.