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Finding the Fourth Proportional to 7,862.96, 11,794.96 and 2,669.20

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Solution

The fourth proportional to 7,862.96, 11,794.96 and 2,669.20 is: 4,003.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.96 : 11,794.96 = 2,669.20 : x
  2. Step 2: Convert to fraction form
    7,862.96/11,794.96 = 2,669.20/x
  3. Step 3: Cross multiply
    7,862.96x = 11,794.96 × 2,669.20
  4. Step 4: Simplify right side
    7,862.96x = 31,483,107.23
  5. Step 5: Solve for x
    x = 31,483,107.23/7,862.96
  6. Step 6: Final answer
    x = 4,003.98

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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.