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Finding the Fourth Proportional to 6,874.80, 9,486 and 4,042.74

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Solution

The fourth proportional to 6,874.80, 9,486 and 4,042.74 is: 5,578.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.80 : 9,486 = 4,042.74 : x
  2. Step 2: Convert to fraction form
    6,874.80/9,486 = 4,042.74/x
  3. Step 3: Cross multiply
    6,874.80x = 9,486 × 4,042.74
  4. Step 4: Simplify right side
    6,874.80x = 38,349,431.64
  5. Step 5: Solve for x
    x = 38,349,431.64/6,874.80
  6. Step 6: Final answer
    x = 5,578.26

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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.