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Finding the Fourth Proportional to 9,209.68, 13,812.84 and 2,969.84

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Solution

The fourth proportional to 9,209.68, 13,812.84 and 2,969.84 is: 4,454.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.68 : 13,812.84 = 2,969.84 : x
  2. Step 2: Convert to fraction form
    9,209.68/13,812.84 = 2,969.84/x
  3. Step 3: Cross multiply
    9,209.68x = 13,812.84 × 2,969.84
  4. Step 4: Simplify right side
    9,209.68x = 41,021,924.75
  5. Step 5: Solve for x
    x = 41,021,924.75/9,209.68
  6. Step 6: Final answer
    x = 4,454.22

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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.