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Finding the Fourth Proportional to 6,991.54, 10,535.12 and 5,785.54

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Solution

The fourth proportional to 6,991.54, 10,535.12 and 5,785.54 is: 8,717.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.54 : 10,535.12 = 5,785.54 : x
  2. Step 2: Convert to fraction form
    6,991.54/10,535.12 = 5,785.54/x
  3. Step 3: Cross multiply
    6,991.54x = 10,535.12 × 5,785.54
  4. Step 4: Simplify right side
    6,991.54x = 60,951,329.24
  5. Step 5: Solve for x
    x = 60,951,329.24/6,991.54
  6. Step 6: Final answer
    x = 8,717.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.