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Finding the Fourth Proportional to 7,874.66, 10,863.24 and 4,894

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Solution

The fourth proportional to 7,874.66, 10,863.24 and 4,894 is: 6,751.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.66 : 10,863.24 = 4,894 : x
  2. Step 2: Convert to fraction form
    7,874.66/10,863.24 = 4,894/x
  3. Step 3: Cross multiply
    7,874.66x = 10,863.24 × 4,894
  4. Step 4: Simplify right side
    7,874.66x = 53,164,696.56
  5. Step 5: Solve for x
    x = 53,164,696.56/7,874.66
  6. Step 6: Final answer
    x = 6,751.36

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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.