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Finding the Fourth Proportional to 8,548.20, 12,822.30 and 8,116.20

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Solution

The fourth proportional to 8,548.20, 12,822.30 and 8,116.20 is: 12,174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548.20 : 12,822.30 = 8,116.20 : x
  2. Step 2: Convert to fraction form
    8,548.20/12,822.30 = 8,116.20/x
  3. Step 3: Cross multiply
    8,548.20x = 12,822.30 × 8,116.20
  4. Step 4: Simplify right side
    8,548.20x = 104,068,351.26
  5. Step 5: Solve for x
    x = 104,068,351.26/8,548.20
  6. Step 6: Final answer
    x = 12,174.30

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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.