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Finding the Fourth Proportional to 8,120, 12,180.40 and 2,648

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Solution

The fourth proportional to 8,120, 12,180.40 and 2,648 is: 3,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120 : 12,180.40 = 2,648 : x
  2. Step 2: Convert to fraction form
    8,120/12,180.40 = 2,648/x
  3. Step 3: Cross multiply
    8,120x = 12,180.40 × 2,648
  4. Step 4: Simplify right side
    8,120x = 32,253,699.20
  5. Step 5: Solve for x
    x = 32,253,699.20/8,120
  6. Step 6: Final answer
    x = 3,972.13

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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.