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Finding the Fourth Proportional to 5,812.52, 8,722.49 and 2,114.40

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Solution

The fourth proportional to 5,812.52, 8,722.49 and 2,114.40 is: 3,172.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.52 : 8,722.49 = 2,114.40 : x
  2. Step 2: Convert to fraction form
    5,812.52/8,722.49 = 2,114.40/x
  3. Step 3: Cross multiply
    5,812.52x = 8,722.49 × 2,114.40
  4. Step 4: Simplify right side
    5,812.52x = 18,442,832.86
  5. Step 5: Solve for x
    x = 18,442,832.86/5,812.52
  6. Step 6: Final answer
    x = 3,172.95

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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.