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Finding the Fourth Proportional to 9,417.84, 12,991.22 and 5,874.90

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Solution

The fourth proportional to 9,417.84, 12,991.22 and 5,874.90 is: 8,103.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.84 : 12,991.22 = 5,874.90 : x
  2. Step 2: Convert to fraction form
    9,417.84/12,991.22 = 5,874.90/x
  3. Step 3: Cross multiply
    9,417.84x = 12,991.22 × 5,874.90
  4. Step 4: Simplify right side
    9,417.84x = 76,322,118.38
  5. Step 5: Solve for x
    x = 76,322,118.38/9,417.84
  6. Step 6: Final answer
    x = 8,103.99

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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.