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Finding the Fourth Proportional to 5,745.45, 7,929.31 and 3,508.64

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Solution

The fourth proportional to 5,745.45, 7,929.31 and 3,508.64 is: 4,842.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.45 : 7,929.31 = 3,508.64 : x
  2. Step 2: Convert to fraction form
    5,745.45/7,929.31 = 3,508.64/x
  3. Step 3: Cross multiply
    5,745.45x = 7,929.31 × 3,508.64
  4. Step 4: Simplify right side
    5,745.45x = 27,821,094.24
  5. Step 5: Solve for x
    x = 27,821,094.24/5,745.45
  6. Step 6: Final answer
    x = 4,842.28

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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.