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Finding the Fourth Proportional to 9,839.75, 14,747.28 and 7,751.51

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Solution

The fourth proportional to 9,839.75, 14,747.28 and 7,751.51 is: 11,617.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.75 : 14,747.28 = 7,751.51 : x
  2. Step 2: Convert to fraction form
    9,839.75/14,747.28 = 7,751.51/x
  3. Step 3: Cross multiply
    9,839.75x = 14,747.28 × 7,751.51
  4. Step 4: Simplify right side
    9,839.75x = 114,313,640.89
  5. Step 5: Solve for x
    x = 114,313,640.89/9,839.75
  6. Step 6: Final answer
    x = 11,617.54

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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.