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Finding the Fourth Proportional to 11,458.98, 17,188.50 and 3,138.78

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Solution

The fourth proportional to 11,458.98, 17,188.50 and 3,138.78 is: 4,708.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,458.98 : 17,188.50 = 3,138.78 : x
  2. Step 2: Convert to fraction form
    11,458.98/17,188.50 = 3,138.78/x
  3. Step 3: Cross multiply
    11,458.98x = 17,188.50 × 3,138.78
  4. Step 4: Simplify right side
    11,458.98x = 53,950,920.03
  5. Step 5: Solve for x
    x = 53,950,920.03/11,458.98
  6. Step 6: Final answer
    x = 4,708.18

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1.5x scale

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.