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Finding the Fourth Proportional to 7,850, 11,780.40 and 3,233

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Solution

The fourth proportional to 7,850, 11,780.40 and 3,233 is: 4,851.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850 : 11,780.40 = 3,233 : x
  2. Step 2: Convert to fraction form
    7,850/11,780.40 = 3,233/x
  3. Step 3: Cross multiply
    7,850x = 11,780.40 × 3,233
  4. Step 4: Simplify right side
    7,850x = 38,086,033.20
  5. Step 5: Solve for x
    x = 38,086,033.20/7,850
  6. Step 6: Final answer
    x = 4,851.72

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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.