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Finding the Fourth Proportional to 5,307.66, 7,961.49 and 2,189.43

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Solution

The fourth proportional to 5,307.66, 7,961.49 and 2,189.43 is: 3,284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.66 : 7,961.49 = 2,189.43 : x
  2. Step 2: Convert to fraction form
    5,307.66/7,961.49 = 2,189.43/x
  3. Step 3: Cross multiply
    5,307.66x = 7,961.49 × 2,189.43
  4. Step 4: Simplify right side
    5,307.66x = 17,431,125.05
  5. Step 5: Solve for x
    x = 17,431,125.05/5,307.66
  6. Step 6: Final answer
    x = 3,284.15

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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.