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Finding the Fourth Proportional to 11,818.74, 17,734.29 and 7,657.67

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Solution

The fourth proportional to 11,818.74, 17,734.29 and 7,657.67 is: 11,490.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,818.74 : 17,734.29 = 7,657.67 : x
  2. Step 2: Convert to fraction form
    11,818.74/17,734.29 = 7,657.67/x
  3. Step 3: Cross multiply
    11,818.74x = 17,734.29 × 7,657.67
  4. Step 4: Simplify right side
    11,818.74x = 135,803,340.50
  5. Step 5: Solve for x
    x = 135,803,340.50/11,818.74
  6. Step 6: Final answer
    x = 11,490.51

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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.