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Finding the Fourth Proportional to 9,702, 13,389.84 and 5,976

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Solution

The fourth proportional to 9,702, 13,389.84 and 5,976 is: 8,247.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702 : 13,389.84 = 5,976 : x
  2. Step 2: Convert to fraction form
    9,702/13,389.84 = 5,976/x
  3. Step 3: Cross multiply
    9,702x = 13,389.84 × 5,976
  4. Step 4: Simplify right side
    9,702x = 80,017,683.84
  5. Step 5: Solve for x
    x = 80,017,683.84/9,702
  6. Step 6: Final answer
    x = 8,247.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.