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Finding the Fourth Proportional to 2,548.16, 3,821.43 and 988.05

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Solution

The fourth proportional to 2,548.16, 3,821.43 and 988.05 is: 1,481.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.16 : 3,821.43 = 988.05 : x
  2. Step 2: Convert to fraction form
    2,548.16/3,821.43 = 988.05/x
  3. Step 3: Cross multiply
    2,548.16x = 3,821.43 × 988.05
  4. Step 4: Simplify right side
    2,548.16x = 3,775,763.91
  5. Step 5: Solve for x
    x = 3,775,763.91/2,548.16
  6. Step 6: Final answer
    x = 1,481.76

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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.