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Finding the Fourth Proportional to 2,918, 4,370.78 and 1,821

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Solution

The fourth proportional to 2,918, 4,370.78 and 1,821 is: 2,727.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,918 : 4,370.78 = 1,821 : x
  2. Step 2: Convert to fraction form
    2,918/4,370.78 = 1,821/x
  3. Step 3: Cross multiply
    2,918x = 4,370.78 × 1,821
  4. Step 4: Simplify right side
    2,918x = 7,959,190.38
  5. Step 5: Solve for x
    x = 7,959,190.38/2,918
  6. Step 6: Final answer
    x = 2,727.62

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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.