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Finding the Fourth Proportional to 3,318.28, 4,977.38 and 853.06

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Solution

The fourth proportional to 3,318.28, 4,977.38 and 853.06 is: 1,279.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.28 : 4,977.38 = 853.06 : x
  2. Step 2: Convert to fraction form
    3,318.28/4,977.38 = 853.06/x
  3. Step 3: Cross multiply
    3,318.28x = 4,977.38 × 853.06
  4. Step 4: Simplify right side
    3,318.28x = 4,246,003.78
  5. Step 5: Solve for x
    x = 4,246,003.78/3,318.28
  6. Step 6: Final answer
    x = 1,279.58

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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.