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Finding the Fourth Proportional to 2,008.83, 3,012.94 and 548.10

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Solution

The fourth proportional to 2,008.83, 3,012.94 and 548.10 is: 822.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.83 : 3,012.94 = 548.10 : x
  2. Step 2: Convert to fraction form
    2,008.83/3,012.94 = 548.10/x
  3. Step 3: Cross multiply
    2,008.83x = 3,012.94 × 548.10
  4. Step 4: Simplify right side
    2,008.83x = 1,651,392.41
  5. Step 5: Solve for x
    x = 1,651,392.41/2,008.83
  6. Step 6: Final answer
    x = 822.07

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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.