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Finding the Fourth Proportional to 7,747.75, 10,720.05 and 6,755.10

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Solution

The fourth proportional to 7,747.75, 10,720.05 and 6,755.10 is: 9,346.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.75 : 10,720.05 = 6,755.10 : x
  2. Step 2: Convert to fraction form
    7,747.75/10,720.05 = 6,755.10/x
  3. Step 3: Cross multiply
    7,747.75x = 10,720.05 × 6,755.10
  4. Step 4: Simplify right side
    7,747.75x = 72,415,009.76
  5. Step 5: Solve for x
    x = 72,415,009.76/7,747.75
  6. Step 6: Final answer
    x = 9,346.59

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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.