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Finding the Fourth Proportional to 5,252.79, 7,874.32 and 1,963.38

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Solution

The fourth proportional to 5,252.79, 7,874.32 and 1,963.38 is: 2,943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.79 : 7,874.32 = 1,963.38 : x
  2. Step 2: Convert to fraction form
    5,252.79/7,874.32 = 1,963.38/x
  3. Step 3: Cross multiply
    5,252.79x = 7,874.32 × 1,963.38
  4. Step 4: Simplify right side
    5,252.79x = 15,460,282.40
  5. Step 5: Solve for x
    x = 15,460,282.40/5,252.79
  6. Step 6: Final answer
    x = 2,943.25

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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.