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Finding the Fourth Proportional to 9,070, 13,609.84 and 3,874.68

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Solution

The fourth proportional to 9,070, 13,609.84 and 3,874.68 is: 5,814.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,070 : 13,609.84 = 3,874.68 : x
  2. Step 2: Convert to fraction form
    9,070/13,609.84 = 3,874.68/x
  3. Step 3: Cross multiply
    9,070x = 13,609.84 × 3,874.68
  4. Step 4: Simplify right side
    9,070x = 52,733,774.85
  5. Step 5: Solve for x
    x = 52,733,774.85/9,070
  6. Step 6: Final answer
    x = 5,814.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.