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Finding the Fourth Proportional to 9,874.38, 13,626.65 and 5,682.63

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Solution

The fourth proportional to 9,874.38, 13,626.65 and 5,682.63 is: 7,842.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.38 : 13,626.65 = 5,682.63 : x
  2. Step 2: Convert to fraction form
    9,874.38/13,626.65 = 5,682.63/x
  3. Step 3: Cross multiply
    9,874.38x = 13,626.65 × 5,682.63
  4. Step 4: Simplify right side
    9,874.38x = 77,435,210.09
  5. Step 5: Solve for x
    x = 77,435,210.09/9,874.38
  6. Step 6: Final answer
    x = 7,842.03

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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.