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Finding the Fourth Proportional to 5,147.78, 7,723.65 and 2,029.28

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Solution

The fourth proportional to 5,147.78, 7,723.65 and 2,029.28 is: 3,044.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.78 : 7,723.65 = 2,029.28 : x
  2. Step 2: Convert to fraction form
    5,147.78/7,723.65 = 2,029.28/x
  3. Step 3: Cross multiply
    5,147.78x = 7,723.65 × 2,029.28
  4. Step 4: Simplify right side
    5,147.78x = 15,673,448.47
  5. Step 5: Solve for x
    x = 15,673,448.47/5,147.78
  6. Step 6: Final answer
    x = 3,044.70

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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.