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Finding the Fourth Proportional to 7,782.75, 10,751.89 and 5,100.33

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Solution

The fourth proportional to 7,782.75, 10,751.89 and 5,100.33 is: 7,046.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.75 : 10,751.89 = 5,100.33 : x
  2. Step 2: Convert to fraction form
    7,782.75/10,751.89 = 5,100.33/x
  3. Step 3: Cross multiply
    7,782.75x = 10,751.89 × 5,100.33
  4. Step 4: Simplify right side
    7,782.75x = 54,838,178.90
  5. Step 5: Solve for x
    x = 54,838,178.90/7,782.75
  6. Step 6: Final answer
    x = 7,046.12

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1.5x scale

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.