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Finding the Fourth Proportional to 3,712.49, 5,128.57 and 2,965.46

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Solution

The fourth proportional to 3,712.49, 5,128.57 and 2,965.46 is: 4,096.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.49 : 5,128.57 = 2,965.46 : x
  2. Step 2: Convert to fraction form
    3,712.49/5,128.57 = 2,965.46/x
  3. Step 3: Cross multiply
    3,712.49x = 5,128.57 × 2,965.46
  4. Step 4: Simplify right side
    3,712.49x = 15,208,554.36
  5. Step 5: Solve for x
    x = 15,208,554.36/3,712.49
  6. Step 6: Final answer
    x = 4,096.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.