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Finding the Fourth Proportional to 2,548.07, 3,822.12 and 699.20

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Solution

The fourth proportional to 2,548.07, 3,822.12 and 699.20 is: 1,048.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.07 : 3,822.12 = 699.20 : x
  2. Step 2: Convert to fraction form
    2,548.07/3,822.12 = 699.20/x
  3. Step 3: Cross multiply
    2,548.07x = 3,822.12 × 699.20
  4. Step 4: Simplify right side
    2,548.07x = 2,672,421.53
  5. Step 5: Solve for x
    x = 2,672,421.53/2,548.07
  6. Step 6: Final answer
    x = 1,048.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.