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Finding the Fourth Proportional to 8,546.84, 12,825.99 and 3,000.20

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Solution

The fourth proportional to 8,546.84, 12,825.99 and 3,000.20 is: 4,502.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.84 : 12,825.99 = 3,000.20 : x
  2. Step 2: Convert to fraction form
    8,546.84/12,825.99 = 3,000.20/x
  3. Step 3: Cross multiply
    8,546.84x = 12,825.99 × 3,000.20
  4. Step 4: Simplify right side
    8,546.84x = 38,480,456.07
  5. Step 5: Solve for x
    x = 38,480,456.07/8,546.84
  6. Step 6: Final answer
    x = 4,502.30

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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.