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Finding the Fourth Proportional to 7,851.40, 10,834.49 and 4,494.05

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Solution

The fourth proportional to 7,851.40, 10,834.49 and 4,494.05 is: 6,201.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.40 : 10,834.49 = 4,494.05 : x
  2. Step 2: Convert to fraction form
    7,851.40/10,834.49 = 4,494.05/x
  3. Step 3: Cross multiply
    7,851.40x = 10,834.49 × 4,494.05
  4. Step 4: Simplify right side
    7,851.40x = 48,690,737.48
  5. Step 5: Solve for x
    x = 48,690,737.48/7,851.40
  6. Step 6: Final answer
    x = 6,201.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.