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Finding the Fourth Proportional to 11,818.87, 17,734.48 and 7,657.80

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Solution

The fourth proportional to 11,818.87, 17,734.48 and 7,657.80 is: 11,490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,818.87 : 17,734.48 = 7,657.80 : x
  2. Step 2: Convert to fraction form
    11,818.87/17,734.48 = 7,657.80/x
  3. Step 3: Cross multiply
    11,818.87x = 17,734.48 × 7,657.80
  4. Step 4: Simplify right side
    11,818.87x = 135,807,081.80
  5. Step 5: Solve for x
    x = 135,807,081.80/11,818.87
  6. Step 6: Final answer
    x = 11,490.70

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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.