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Finding the Fourth Proportional to 7,018, 9,684.72 and 3,874.12

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Solution

The fourth proportional to 7,018, 9,684.72 and 3,874.12 is: 5,346.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,018 : 9,684.72 = 3,874.12 : x
  2. Step 2: Convert to fraction form
    7,018/9,684.72 = 3,874.12/x
  3. Step 3: Cross multiply
    7,018x = 9,684.72 × 3,874.12
  4. Step 4: Simplify right side
    7,018x = 37,519,767.45
  5. Step 5: Solve for x
    x = 37,519,767.45/7,018
  6. Step 6: Final answer
    x = 5,346.22

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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.