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Finding the Fourth Proportional to 7,909.92, 11,855.85 and 2,643.68

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Solution

The fourth proportional to 7,909.92, 11,855.85 and 2,643.68 is: 3,962.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.92 : 11,855.85 = 2,643.68 : x
  2. Step 2: Convert to fraction form
    7,909.92/11,855.85 = 2,643.68/x
  3. Step 3: Cross multiply
    7,909.92x = 11,855.85 × 2,643.68
  4. Step 4: Simplify right side
    7,909.92x = 31,343,014.25
  5. Step 5: Solve for x
    x = 31,343,014.25/7,909.92
  6. Step 6: Final answer
    x = 3,962.49

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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.