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Finding the Fourth Proportional to 7,018, 9,684.38 and 3,874.16

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Solution

The fourth proportional to 7,018, 9,684.38 and 3,874.16 is: 5,346.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,018 : 9,684.38 = 3,874.16 : x
  2. Step 2: Convert to fraction form
    7,018/9,684.38 = 3,874.16/x
  3. Step 3: Cross multiply
    7,018x = 9,684.38 × 3,874.16
  4. Step 4: Simplify right side
    7,018x = 37,518,837.62
  5. Step 5: Solve for x
    x = 37,518,837.62/7,018
  6. Step 6: Final answer
    x = 5,346.09

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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.