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Finding the Fourth Proportional to 2,960, 4,439.52 and 2,091.68

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Solution

The fourth proportional to 2,960, 4,439.52 and 2,091.68 is: 3,137.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960 : 4,439.52 = 2,091.68 : x
  2. Step 2: Convert to fraction form
    2,960/4,439.52 = 2,091.68/x
  3. Step 3: Cross multiply
    2,960x = 4,439.52 × 2,091.68
  4. Step 4: Simplify right side
    2,960x = 9,286,055.19
  5. Step 5: Solve for x
    x = 9,286,055.19/2,960
  6. Step 6: Final answer
    x = 3,137.18

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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.