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Finding the Fourth Proportional to 2,880.92, 4,323 and 1,149.68

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Solution

The fourth proportional to 2,880.92, 4,323 and 1,149.68 is: 1,725.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.92 : 4,323 = 1,149.68 : x
  2. Step 2: Convert to fraction form
    2,880.92/4,323 = 1,149.68/x
  3. Step 3: Cross multiply
    2,880.92x = 4,323 × 1,149.68
  4. Step 4: Simplify right side
    2,880.92x = 4,970,066.64
  5. Step 5: Solve for x
    x = 4,970,066.64/2,880.92
  6. Step 6: Final answer
    x = 1,725.17

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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.