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Finding the Fourth Proportional to 5,745.57, 7,929.74 and 3,508.74

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Solution

The fourth proportional to 5,745.57, 7,929.74 and 3,508.74 is: 4,842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.57 : 7,929.74 = 3,508.74 : x
  2. Step 2: Convert to fraction form
    5,745.57/7,929.74 = 3,508.74/x
  3. Step 3: Cross multiply
    5,745.57x = 7,929.74 × 3,508.74
  4. Step 4: Simplify right side
    5,745.57x = 27,823,358.56
  5. Step 5: Solve for x
    x = 27,823,358.56/5,745.57
  6. Step 6: Final answer
    x = 4,842.58

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1.5x scale

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.