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Finding the Fourth Proportional to 6,786.66, 9,360.81 and 5,775.78

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Solution

The fourth proportional to 6,786.66, 9,360.81 and 5,775.78 is: 7,966.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.66 : 9,360.81 = 5,775.78 : x
  2. Step 2: Convert to fraction form
    6,786.66/9,360.81 = 5,775.78/x
  3. Step 3: Cross multiply
    6,786.66x = 9,360.81 × 5,775.78
  4. Step 4: Simplify right side
    6,786.66x = 54,065,979.18
  5. Step 5: Solve for x
    x = 54,065,979.18/6,786.66
  6. Step 6: Final answer
    x = 7,966.51

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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.