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Finding the Fourth Proportional to 5,676.57, 7,835.81 and 3,319.47

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Solution

The fourth proportional to 5,676.57, 7,835.81 and 3,319.47 is: 4,582.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.57 : 7,835.81 = 3,319.47 : x
  2. Step 2: Convert to fraction form
    5,676.57/7,835.81 = 3,319.47/x
  3. Step 3: Cross multiply
    5,676.57x = 7,835.81 × 3,319.47
  4. Step 4: Simplify right side
    5,676.57x = 26,010,719.62
  5. Step 5: Solve for x
    x = 26,010,719.62/5,676.57
  6. Step 6: Final answer
    x = 4,582.12

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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.