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Finding the Fourth Proportional to 7,761, 11,646.62 and 3,657.32

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Solution

The fourth proportional to 7,761, 11,646.62 and 3,657.32 is: 5,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761 : 11,646.62 = 3,657.32 : x
  2. Step 2: Convert to fraction form
    7,761/11,646.62 = 3,657.32/x
  3. Step 3: Cross multiply
    7,761x = 11,646.62 × 3,657.32
  4. Step 4: Simplify right side
    7,761x = 42,595,416.26
  5. Step 5: Solve for x
    x = 42,595,416.26/7,761
  6. Step 6: Final answer
    x = 5,488.39

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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.