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Finding the Fourth Proportional to 5,676.78, 7,834.02 and 3,318.47

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Solution

The fourth proportional to 5,676.78, 7,834.02 and 3,318.47 is: 4,579.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.78 : 7,834.02 = 3,318.47 : x
  2. Step 2: Convert to fraction form
    5,676.78/7,834.02 = 3,318.47/x
  3. Step 3: Cross multiply
    5,676.78x = 7,834.02 × 3,318.47
  4. Step 4: Simplify right side
    5,676.78x = 25,996,938.11
  5. Step 5: Solve for x
    x = 25,996,938.11/5,676.78
  6. Step 6: Final answer
    x = 4,579.52

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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.