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Finding the Fourth Proportional to 5,091.84, 7,636.50 and 2,169.84

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Solution

The fourth proportional to 5,091.84, 7,636.50 and 2,169.84 is: 3,254.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,091.84 : 7,636.50 = 2,169.84 : x
  2. Step 2: Convert to fraction form
    5,091.84/7,636.50 = 2,169.84/x
  3. Step 3: Cross multiply
    5,091.84x = 7,636.50 × 2,169.84
  4. Step 4: Simplify right side
    5,091.84x = 16,569,983.16
  5. Step 5: Solve for x
    x = 16,569,983.16/5,091.84
  6. Step 6: Final answer
    x = 3,254.22

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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.