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Finding the Fourth Proportional to 8,228.72, 12,348.54 and 7,681.97

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Solution

The fourth proportional to 8,228.72, 12,348.54 and 7,681.97 is: 11,528.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.72 : 12,348.54 = 7,681.97 : x
  2. Step 2: Convert to fraction form
    8,228.72/12,348.54 = 7,681.97/x
  3. Step 3: Cross multiply
    8,228.72x = 12,348.54 × 7,681.97
  4. Step 4: Simplify right side
    8,228.72x = 94,861,052.08
  5. Step 5: Solve for x
    x = 94,861,052.08/8,228.72
  6. Step 6: Final answer
    x = 11,528.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.