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Finding the Fourth Proportional to 5,740.70, 8,616.44 and 2,821.10

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Solution

The fourth proportional to 5,740.70, 8,616.44 and 2,821.10 is: 4,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.70 : 8,616.44 = 2,821.10 : x
  2. Step 2: Convert to fraction form
    5,740.70/8,616.44 = 2,821.10/x
  3. Step 3: Cross multiply
    5,740.70x = 8,616.44 × 2,821.10
  4. Step 4: Simplify right side
    5,740.70x = 24,307,838.88
  5. Step 5: Solve for x
    x = 24,307,838.88/5,740.70
  6. Step 6: Final answer
    x = 4,234.30

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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.