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Finding the Fourth Proportional to 7,920.67, 11,876 and 6,746.07

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Solution

The fourth proportional to 7,920.67, 11,876 and 6,746.07 is: 10,114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.67 : 11,876 = 6,746.07 : x
  2. Step 2: Convert to fraction form
    7,920.67/11,876 = 6,746.07/x
  3. Step 3: Cross multiply
    7,920.67x = 11,876 × 6,746.07
  4. Step 4: Simplify right side
    7,920.67x = 80,116,327.32
  5. Step 5: Solve for x
    x = 80,116,327.32/7,920.67
  6. Step 6: Final answer
    x = 10,114.84

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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.