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Finding the Fourth Proportional to 5,165.79, 7,748.70 and 1,876.80

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Solution

The fourth proportional to 5,165.79, 7,748.70 and 1,876.80 is: 2,815.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.79 : 7,748.70 = 1,876.80 : x
  2. Step 2: Convert to fraction form
    5,165.79/7,748.70 = 1,876.80/x
  3. Step 3: Cross multiply
    5,165.79x = 7,748.70 × 1,876.80
  4. Step 4: Simplify right side
    5,165.79x = 14,542,760.16
  5. Step 5: Solve for x
    x = 14,542,760.16/5,165.79
  6. Step 6: Final answer
    x = 2,815.21

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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.