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Finding the Fourth Proportional to 7,767, 11,646.98 and 2,219

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Solution

The fourth proportional to 7,767, 11,646.98 and 2,219 is: 3,327.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767 : 11,646.98 = 2,219 : x
  2. Step 2: Convert to fraction form
    7,767/11,646.98 = 2,219/x
  3. Step 3: Cross multiply
    7,767x = 11,646.98 × 2,219
  4. Step 4: Simplify right side
    7,767x = 25,844,648.62
  5. Step 5: Solve for x
    x = 25,844,648.62/7,767
  6. Step 6: Final answer
    x = 3,327.49

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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.