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Finding the Fourth Proportional to 5,356.78, 8,032.20 and 1,845.16

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Solution

The fourth proportional to 5,356.78, 8,032.20 and 1,845.16 is: 2,766.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.78 : 8,032.20 = 1,845.16 : x
  2. Step 2: Convert to fraction form
    5,356.78/8,032.20 = 1,845.16/x
  3. Step 3: Cross multiply
    5,356.78x = 8,032.20 × 1,845.16
  4. Step 4: Simplify right side
    5,356.78x = 14,820,694.15
  5. Step 5: Solve for x
    x = 14,820,694.15/5,356.78
  6. Step 6: Final answer
    x = 2,766.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.