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Finding the Fourth Proportional to 5,104.84, 7,661.10 and 4,091.08

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Solution

The fourth proportional to 5,104.84, 7,661.10 and 4,091.08 is: 6,139.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.84 : 7,661.10 = 4,091.08 : x
  2. Step 2: Convert to fraction form
    5,104.84/7,661.10 = 4,091.08/x
  3. Step 3: Cross multiply
    5,104.84x = 7,661.10 × 4,091.08
  4. Step 4: Simplify right side
    5,104.84x = 31,342,172.99
  5. Step 5: Solve for x
    x = 31,342,172.99/5,104.84
  6. Step 6: Final answer
    x = 6,139.70

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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.