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Finding the Fourth Proportional to 7,151.79, 10,721.16 and 2,765.95

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Solution

The fourth proportional to 7,151.79, 10,721.16 and 2,765.95 is: 4,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.79 : 10,721.16 = 2,765.95 : x
  2. Step 2: Convert to fraction form
    7,151.79/10,721.16 = 2,765.95/x
  3. Step 3: Cross multiply
    7,151.79x = 10,721.16 × 2,765.95
  4. Step 4: Simplify right side
    7,151.79x = 29,654,165.70
  5. Step 5: Solve for x
    x = 29,654,165.70/7,151.79
  6. Step 6: Final answer
    x = 4,146.40

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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.