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Finding the Fourth Proportional to 5,641.24, 8,462.79 and 1,745.62

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Solution

The fourth proportional to 5,641.24, 8,462.79 and 1,745.62 is: 2,618.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.24 : 8,462.79 = 1,745.62 : x
  2. Step 2: Convert to fraction form
    5,641.24/8,462.79 = 1,745.62/x
  3. Step 3: Cross multiply
    5,641.24x = 8,462.79 × 1,745.62
  4. Step 4: Simplify right side
    5,641.24x = 14,772,815.48
  5. Step 5: Solve for x
    x = 14,772,815.48/5,641.24
  6. Step 6: Final answer
    x = 2,618.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.