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Finding the Fourth Proportional to 5,128.49, 7,695.97 and 2,941.49

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Solution

The fourth proportional to 5,128.49, 7,695.97 and 2,941.49 is: 4,414.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.49 : 7,695.97 = 2,941.49 : x
  2. Step 2: Convert to fraction form
    5,128.49/7,695.97 = 2,941.49/x
  3. Step 3: Cross multiply
    5,128.49x = 7,695.97 × 2,941.49
  4. Step 4: Simplify right side
    5,128.49x = 22,637,580.32
  5. Step 5: Solve for x
    x = 22,637,580.32/5,128.49
  6. Step 6: Final answer
    x = 4,414.09

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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.