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Finding the Fourth Proportional to 7,909, 11,854.36 and 2,975.48

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Solution

The fourth proportional to 7,909, 11,854.36 and 2,975.48 is: 4,459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909 : 11,854.36 = 2,975.48 : x
  2. Step 2: Convert to fraction form
    7,909/11,854.36 = 2,975.48/x
  3. Step 3: Cross multiply
    7,909x = 11,854.36 × 2,975.48
  4. Step 4: Simplify right side
    7,909x = 35,272,411.09
  5. Step 5: Solve for x
    x = 35,272,411.09/7,909
  6. Step 6: Final answer
    x = 4,459.78

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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.