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Finding the Fourth Proportional to 7,795.12, 11,691.96 and 1,951.72

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Solution

The fourth proportional to 7,795.12, 11,691.96 and 1,951.72 is: 2,927.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795.12 : 11,691.96 = 1,951.72 : x
  2. Step 2: Convert to fraction form
    7,795.12/11,691.96 = 1,951.72/x
  3. Step 3: Cross multiply
    7,795.12x = 11,691.96 × 1,951.72
  4. Step 4: Simplify right side
    7,795.12x = 22,819,432.17
  5. Step 5: Solve for x
    x = 22,819,432.17/7,795.12
  6. Step 6: Final answer
    x = 2,927.40

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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.