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Finding the Fourth Proportional to 11,977.84, 17,958.38 and 5,310.68

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Solution

The fourth proportional to 11,977.84, 17,958.38 and 5,310.68 is: 7,962.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977.84 : 17,958.38 = 5,310.68 : x
  2. Step 2: Convert to fraction form
    11,977.84/17,958.38 = 5,310.68/x
  3. Step 3: Cross multiply
    11,977.84x = 17,958.38 × 5,310.68
  4. Step 4: Simplify right side
    11,977.84x = 95,371,209.50
  5. Step 5: Solve for x
    x = 95,371,209.50/11,977.84
  6. Step 6: Final answer
    x = 7,962.30

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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.