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Finding the Fourth Proportional to 11,809.84, 17,711.88 and 3,487.60

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Solution

The fourth proportional to 11,809.84, 17,711.88 and 3,487.60 is: 5,230.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.84 : 17,711.88 = 3,487.60 : x
  2. Step 2: Convert to fraction form
    11,809.84/17,711.88 = 3,487.60/x
  3. Step 3: Cross multiply
    11,809.84x = 17,711.88 × 3,487.60
  4. Step 4: Simplify right side
    11,809.84x = 61,771,952.69
  5. Step 5: Solve for x
    x = 61,771,952.69/11,809.84
  6. Step 6: Final answer
    x = 5,230.55

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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.