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Finding the Fourth Proportional to 5,745.90, 7,926.62 and 3,620.46

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Solution

The fourth proportional to 5,745.90, 7,926.62 and 3,620.46 is: 4,994.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.90 : 7,926.62 = 3,620.46 : x
  2. Step 2: Convert to fraction form
    5,745.90/7,926.62 = 3,620.46/x
  3. Step 3: Cross multiply
    5,745.90x = 7,926.62 × 3,620.46
  4. Step 4: Simplify right side
    5,745.90x = 28,698,010.65
  5. Step 5: Solve for x
    x = 28,698,010.65/5,745.90
  6. Step 6: Final answer
    x = 4,994.52

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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.