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Finding the Fourth Proportional to 3,176, 4,764 and 2,187.84

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Solution

The fourth proportional to 3,176, 4,764 and 2,187.84 is: 3,281.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176 : 4,764 = 2,187.84 : x
  2. Step 2: Convert to fraction form
    3,176/4,764 = 2,187.84/x
  3. Step 3: Cross multiply
    3,176x = 4,764 × 2,187.84
  4. Step 4: Simplify right side
    3,176x = 10,422,869.76
  5. Step 5: Solve for x
    x = 10,422,869.76/3,176
  6. Step 6: Final answer
    x = 3,281.76

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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.