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Finding the Fourth Proportional to 2,176, 3,261.84 and 1,019.68

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Solution

The fourth proportional to 2,176, 3,261.84 and 1,019.68 is: 1,528.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176 : 3,261.84 = 1,019.68 : x
  2. Step 2: Convert to fraction form
    2,176/3,261.84 = 1,019.68/x
  3. Step 3: Cross multiply
    2,176x = 3,261.84 × 1,019.68
  4. Step 4: Simplify right side
    2,176x = 3,326,033.01
  5. Step 5: Solve for x
    x = 3,326,033.01/2,176
  6. Step 6: Final answer
    x = 1,528.51

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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.