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Finding the Fourth Proportional to 6,663.12, 9,993.92 and 2,280

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Solution

The fourth proportional to 6,663.12, 9,993.92 and 2,280 is: 3,419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.12 : 9,993.92 = 2,280 : x
  2. Step 2: Convert to fraction form
    6,663.12/9,993.92 = 2,280/x
  3. Step 3: Cross multiply
    6,663.12x = 9,993.92 × 2,280
  4. Step 4: Simplify right side
    6,663.12x = 22,786,137.60
  5. Step 5: Solve for x
    x = 22,786,137.60/6,663.12
  6. Step 6: Final answer
    x = 3,419.74

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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.