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Finding the Fourth Proportional to 2,785.21, 4,176 and 910.87

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Solution

The fourth proportional to 2,785.21, 4,176 and 910.87 is: 1,365.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.21 : 4,176 = 910.87 : x
  2. Step 2: Convert to fraction form
    2,785.21/4,176 = 910.87/x
  3. Step 3: Cross multiply
    2,785.21x = 4,176 × 910.87
  4. Step 4: Simplify right side
    2,785.21x = 3,803,793.12
  5. Step 5: Solve for x
    x = 3,803,793.12/2,785.21
  6. Step 6: Final answer
    x = 1,365.71

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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.