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Finding the Fourth Proportional to 8,549.28, 12,813.12 and 7,282.08

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Solution

The fourth proportional to 8,549.28, 12,813.12 and 7,282.08 is: 10,913.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.28 : 12,813.12 = 7,282.08 : x
  2. Step 2: Convert to fraction form
    8,549.28/12,813.12 = 7,282.08/x
  3. Step 3: Cross multiply
    8,549.28x = 12,813.12 × 7,282.08
  4. Step 4: Simplify right side
    8,549.28x = 93,306,164.89
  5. Step 5: Solve for x
    x = 93,306,164.89/8,549.28
  6. Step 6: Final answer
    x = 10,913.92

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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.