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Finding the Fourth Proportional to 9,640.48, 14,462.43 and 3,404.11

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Solution

The fourth proportional to 9,640.48, 14,462.43 and 3,404.11 is: 5,106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.48 : 14,462.43 = 3,404.11 : x
  2. Step 2: Convert to fraction form
    9,640.48/14,462.43 = 3,404.11/x
  3. Step 3: Cross multiply
    9,640.48x = 14,462.43 × 3,404.11
  4. Step 4: Simplify right side
    9,640.48x = 49,231,613.25
  5. Step 5: Solve for x
    x = 49,231,613.25/9,640.48
  6. Step 6: Final answer
    x = 5,106.76

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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.