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Finding the Fourth Proportional to 2,915, 4,372.66 and 2,767.38

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Solution

The fourth proportional to 2,915, 4,372.66 and 2,767.38 is: 4,151.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,915 : 4,372.66 = 2,767.38 : x
  2. Step 2: Convert to fraction form
    2,915/4,372.66 = 2,767.38/x
  3. Step 3: Cross multiply
    2,915x = 4,372.66 × 2,767.38
  4. Step 4: Simplify right side
    2,915x = 12,100,811.83
  5. Step 5: Solve for x
    x = 12,100,811.83/2,915
  6. Step 6: Final answer
    x = 4,151.22

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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.