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Finding the Fourth Proportional to 6,502.46, 9,754.50 and 2,118.74

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Solution

The fourth proportional to 6,502.46, 9,754.50 and 2,118.74 is: 3,178.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.46 : 9,754.50 = 2,118.74 : x
  2. Step 2: Convert to fraction form
    6,502.46/9,754.50 = 2,118.74/x
  3. Step 3: Cross multiply
    6,502.46x = 9,754.50 × 2,118.74
  4. Step 4: Simplify right side
    6,502.46x = 20,667,249.33
  5. Step 5: Solve for x
    x = 20,667,249.33/6,502.46
  6. Step 6: Final answer
    x = 3,178.37

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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.