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Finding the Fourth Proportional to 7,657.50, 11,488.98 and 3,764.64

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Solution

The fourth proportional to 7,657.50, 11,488.98 and 3,764.64 is: 5,648.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.50 : 11,488.98 = 3,764.64 : x
  2. Step 2: Convert to fraction form
    7,657.50/11,488.98 = 3,764.64/x
  3. Step 3: Cross multiply
    7,657.50x = 11,488.98 × 3,764.64
  4. Step 4: Simplify right side
    7,657.50x = 43,251,873.67
  5. Step 5: Solve for x
    x = 43,251,873.67/7,657.50
  6. Step 6: Final answer
    x = 5,648.30

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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.