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Finding the Fourth Proportional to 6,502.78, 9,752.05 and 2,119.06

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Solution

The fourth proportional to 6,502.78, 9,752.05 and 2,119.06 is: 3,177.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.78 : 9,752.05 = 2,119.06 : x
  2. Step 2: Convert to fraction form
    6,502.78/9,752.05 = 2,119.06/x
  3. Step 3: Cross multiply
    6,502.78x = 9,752.05 × 2,119.06
  4. Step 4: Simplify right side
    6,502.78x = 20,665,179.07
  5. Step 5: Solve for x
    x = 20,665,179.07/6,502.78
  6. Step 6: Final answer
    x = 3,177.90

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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.