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Finding the Fourth Proportional to 2,563.11, 3,842.10 and 1,000.97

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Solution

The fourth proportional to 2,563.11, 3,842.10 and 1,000.97 is: 1,500.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.11 : 3,842.10 = 1,000.97 : x
  2. Step 2: Convert to fraction form
    2,563.11/3,842.10 = 1,000.97/x
  3. Step 3: Cross multiply
    2,563.11x = 3,842.10 × 1,000.97
  4. Step 4: Simplify right side
    2,563.11x = 3,845,807.63
  5. Step 5: Solve for x
    x = 3,845,807.63/2,563.11
  6. Step 6: Final answer
    x = 1,500.45

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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.