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Finding the Fourth Proportional to 7,909.54, 11,854.38 and 6,920.02

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Solution

The fourth proportional to 7,909.54, 11,854.38 and 6,920.02 is: 10,371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.54 : 11,854.38 = 6,920.02 : x
  2. Step 2: Convert to fraction form
    7,909.54/11,854.38 = 6,920.02/x
  3. Step 3: Cross multiply
    7,909.54x = 11,854.38 × 6,920.02
  4. Step 4: Simplify right side
    7,909.54x = 82,032,546.69
  5. Step 5: Solve for x
    x = 82,032,546.69/7,909.54
  6. Step 6: Final answer
    x = 10,371.34

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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.