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Finding the Fourth Proportional to 6,502.96, 9,738.81 and 3,721.21

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Solution

The fourth proportional to 6,502.96, 9,738.81 and 3,721.21 is: 5,572.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.96 : 9,738.81 = 3,721.21 : x
  2. Step 2: Convert to fraction form
    6,502.96/9,738.81 = 3,721.21/x
  3. Step 3: Cross multiply
    6,502.96x = 9,738.81 × 3,721.21
  4. Step 4: Simplify right side
    6,502.96x = 36,240,157.16
  5. Step 5: Solve for x
    x = 36,240,157.16/6,502.96
  6. Step 6: Final answer
    x = 5,572.87

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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.