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Finding the Fourth Proportional to 2,541.10, 3,812.85 and 898.42

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Solution

The fourth proportional to 2,541.10, 3,812.85 and 898.42 is: 1,348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.10 : 3,812.85 = 898.42 : x
  2. Step 2: Convert to fraction form
    2,541.10/3,812.85 = 898.42/x
  3. Step 3: Cross multiply
    2,541.10x = 3,812.85 × 898.42
  4. Step 4: Simplify right side
    2,541.10x = 3,425,521.63
  5. Step 5: Solve for x
    x = 3,425,521.63/2,541.10
  6. Step 6: Final answer
    x = 1,348.05

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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.