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Finding the Fourth Proportional to 2,491.89, 3,420.42 and 2,384.97

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Solution

The fourth proportional to 2,491.89, 3,420.42 and 2,384.97 is: 3,273.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.89 : 3,420.42 = 2,384.97 : x
  2. Step 2: Convert to fraction form
    2,491.89/3,420.42 = 2,384.97/x
  3. Step 3: Cross multiply
    2,491.89x = 3,420.42 × 2,384.97
  4. Step 4: Simplify right side
    2,491.89x = 8,157,599.09
  5. Step 5: Solve for x
    x = 8,157,599.09/2,491.89
  6. Step 6: Final answer
    x = 3,273.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.