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Finding the Fourth Proportional to 6,938.52, 10,410.80 and 3,650.80

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Solution

The fourth proportional to 6,938.52, 10,410.80 and 3,650.80 is: 5,477.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.52 : 10,410.80 = 3,650.80 : x
  2. Step 2: Convert to fraction form
    6,938.52/10,410.80 = 3,650.80/x
  3. Step 3: Cross multiply
    6,938.52x = 10,410.80 × 3,650.80
  4. Step 4: Simplify right side
    6,938.52x = 38,007,748.64
  5. Step 5: Solve for x
    x = 38,007,748.64/6,938.52
  6. Step 6: Final answer
    x = 5,477.79

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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.