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Finding the Fourth Proportional to 7,767.14, 10,718.69 and 4,230.38

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Solution

The fourth proportional to 7,767.14, 10,718.69 and 4,230.38 is: 5,837.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.14 : 10,718.69 = 4,230.38 : x
  2. Step 2: Convert to fraction form
    7,767.14/10,718.69 = 4,230.38/x
  3. Step 3: Cross multiply
    7,767.14x = 10,718.69 × 4,230.38
  4. Step 4: Simplify right side
    7,767.14x = 45,344,057.06
  5. Step 5: Solve for x
    x = 45,344,057.06/7,767.14
  6. Step 6: Final answer
    x = 5,837.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.