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Finding the Fourth Proportional to 9,965.75, 14,955.11 and 3,809.75

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Solution

The fourth proportional to 9,965.75, 14,955.11 and 3,809.75 is: 5,717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.75 : 14,955.11 = 3,809.75 : x
  2. Step 2: Convert to fraction form
    9,965.75/14,955.11 = 3,809.75/x
  3. Step 3: Cross multiply
    9,965.75x = 14,955.11 × 3,809.75
  4. Step 4: Simplify right side
    9,965.75x = 56,975,211.27
  5. Step 5: Solve for x
    x = 56,975,211.27/9,965.75
  6. Step 6: Final answer
    x = 5,717.10

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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.