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Finding the Fourth Proportional to 5,203.43, 7,801.49 and 1,916.10

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Solution

The fourth proportional to 5,203.43, 7,801.49 and 1,916.10 is: 2,872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.43 : 7,801.49 = 1,916.10 : x
  2. Step 2: Convert to fraction form
    5,203.43/7,801.49 = 1,916.10/x
  3. Step 3: Cross multiply
    5,203.43x = 7,801.49 × 1,916.10
  4. Step 4: Simplify right side
    5,203.43x = 14,948,439.78
  5. Step 5: Solve for x
    x = 14,948,439.78/5,203.43
  6. Step 6: Final answer
    x = 2,872.80

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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.