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Finding the Fourth Proportional to 7,971.84, 11,958.84 and 2,776.50

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Solution

The fourth proportional to 7,971.84, 11,958.84 and 2,776.50 is: 4,165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.84 : 11,958.84 = 2,776.50 : x
  2. Step 2: Convert to fraction form
    7,971.84/11,958.84 = 2,776.50/x
  3. Step 3: Cross multiply
    7,971.84x = 11,958.84 × 2,776.50
  4. Step 4: Simplify right side
    7,971.84x = 33,203,719.26
  5. Step 5: Solve for x
    x = 33,203,719.26/7,971.84
  6. Step 6: Final answer
    x = 4,165.13

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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.