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Finding the Fourth Proportional to 11,874.40, 17,815.75 and 7,426.99

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Solution

The fourth proportional to 11,874.40, 17,815.75 and 7,426.99 is: 11,143.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.40 : 17,815.75 = 7,426.99 : x
  2. Step 2: Convert to fraction form
    11,874.40/17,815.75 = 7,426.99/x
  3. Step 3: Cross multiply
    11,874.40x = 17,815.75 × 7,426.99
  4. Step 4: Simplify right side
    11,874.40x = 132,317,400.79
  5. Step 5: Solve for x
    x = 132,317,400.79/11,874.40
  6. Step 6: Final answer
    x = 11,143.08

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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.