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Finding the Fourth Proportional to 4,989.34, 7,487.34 and 2,800

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Solution

The fourth proportional to 4,989.34, 7,487.34 and 2,800 is: 4,201.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,989.34 : 7,487.34 = 2,800 : x
  2. Step 2: Convert to fraction form
    4,989.34/7,487.34 = 2,800/x
  3. Step 3: Cross multiply
    4,989.34x = 7,487.34 × 2,800
  4. Step 4: Simplify right side
    4,989.34x = 20,964,552
  5. Step 5: Solve for x
    x = 20,964,552/4,989.34
  6. Step 6: Final answer
    x = 4,201.87

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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.