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Finding the Fourth Proportional to 19,641.62, 29,462.67 and 5,790.90

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Solution

The fourth proportional to 19,641.62, 29,462.67 and 5,790.90 is: 8,686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,641.62 : 29,462.67 = 5,790.90 : x
  2. Step 2: Convert to fraction form
    19,641.62/29,462.67 = 5,790.90/x
  3. Step 3: Cross multiply
    19,641.62x = 29,462.67 × 5,790.90
  4. Step 4: Simplify right side
    19,641.62x = 170,615,375.70
  5. Step 5: Solve for x
    x = 170,615,375.70/19,641.62
  6. Step 6: Final answer
    x = 8,686.42

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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.