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Finding the Fourth Proportional to 3,002, 4,143.18 and 1,956.28

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Solution

The fourth proportional to 3,002, 4,143.18 and 1,956.28 is: 2,699.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002 : 4,143.18 = 1,956.28 : x
  2. Step 2: Convert to fraction form
    3,002/4,143.18 = 1,956.28/x
  3. Step 3: Cross multiply
    3,002x = 4,143.18 × 1,956.28
  4. Step 4: Simplify right side
    3,002x = 8,105,220.17
  5. Step 5: Solve for x
    x = 8,105,220.17/3,002
  6. Step 6: Final answer
    x = 2,699.94

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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.