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Finding the Fourth Proportional to 8,280, 12,422.40 and 2,808

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Solution

The fourth proportional to 8,280, 12,422.40 and 2,808 is: 4,212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,280 : 12,422.40 = 2,808 : x
  2. Step 2: Convert to fraction form
    8,280/12,422.40 = 2,808/x
  3. Step 3: Cross multiply
    8,280x = 12,422.40 × 2,808
  4. Step 4: Simplify right side
    8,280x = 34,882,099.20
  5. Step 5: Solve for x
    x = 34,882,099.20/8,280
  6. Step 6: Final answer
    x = 4,212.81

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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.