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Finding the Fourth Proportional to 9,661.81, 14,496.36 and 3,421.57

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Solution

The fourth proportional to 9,661.81, 14,496.36 and 3,421.57 is: 5,133.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.81 : 14,496.36 = 3,421.57 : x
  2. Step 2: Convert to fraction form
    9,661.81/14,496.36 = 3,421.57/x
  3. Step 3: Cross multiply
    9,661.81x = 14,496.36 × 3,421.57
  4. Step 4: Simplify right side
    9,661.81x = 49,600,310.49
  5. Step 5: Solve for x
    x = 49,600,310.49/9,661.81
  6. Step 6: Final answer
    x = 5,133.65

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Why These Related Problems?

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