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Finding the Fourth Proportional to 5,255.02, 7,880.09 and 1,968.04

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Solution

The fourth proportional to 5,255.02, 7,880.09 and 1,968.04 is: 2,951.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.02 : 7,880.09 = 1,968.04 : x
  2. Step 2: Convert to fraction form
    5,255.02/7,880.09 = 1,968.04/x
  3. Step 3: Cross multiply
    5,255.02x = 7,880.09 × 1,968.04
  4. Step 4: Simplify right side
    5,255.02x = 15,508,332.32
  5. Step 5: Solve for x
    x = 15,508,332.32/5,255.02
  6. Step 6: Final answer
    x = 2,951.15

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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.