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Finding the Fourth Proportional to 5,147.66, 7,717.16 and 2,071.82

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Solution

The fourth proportional to 5,147.66, 7,717.16 and 2,071.82 is: 3,105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.66 : 7,717.16 = 2,071.82 : x
  2. Step 2: Convert to fraction form
    5,147.66/7,717.16 = 2,071.82/x
  3. Step 3: Cross multiply
    5,147.66x = 7,717.16 × 2,071.82
  4. Step 4: Simplify right side
    5,147.66x = 15,988,566.43
  5. Step 5: Solve for x
    x = 15,988,566.43/5,147.66
  6. Step 6: Final answer
    x = 3,105.99

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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.