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Finding the Fourth Proportional to 9,641.41, 14,462.25 and 3,073.12

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Solution

The fourth proportional to 9,641.41, 14,462.25 and 3,073.12 is: 4,609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.41 : 14,462.25 = 3,073.12 : x
  2. Step 2: Convert to fraction form
    9,641.41/14,462.25 = 3,073.12/x
  3. Step 3: Cross multiply
    9,641.41x = 14,462.25 × 3,073.12
  4. Step 4: Simplify right side
    9,641.41x = 44,444,229.72
  5. Step 5: Solve for x
    x = 44,444,229.72/9,641.41
  6. Step 6: Final answer
    x = 4,609.72

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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.