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Finding the Fourth Proportional to 5,186.14, 7,746.15 and 4,691.79

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Solution

The fourth proportional to 5,186.14, 7,746.15 and 4,691.79 is: 7,007.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.14 : 7,746.15 = 4,691.79 : x
  2. Step 2: Convert to fraction form
    5,186.14/7,746.15 = 4,691.79/x
  3. Step 3: Cross multiply
    5,186.14x = 7,746.15 × 4,691.79
  4. Step 4: Simplify right side
    5,186.14x = 36,343,309.11
  5. Step 5: Solve for x
    x = 36,343,309.11/5,186.14
  6. Step 6: Final answer
    x = 7,007.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.