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Finding the Fourth Proportional to 21,776.68, 32,667 and 7,735.36

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Solution

The fourth proportional to 21,776.68, 32,667 and 7,735.36 is: 11,603.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,776.68 : 32,667 = 7,735.36 : x
  2. Step 2: Convert to fraction form
    21,776.68/32,667 = 7,735.36/x
  3. Step 3: Cross multiply
    21,776.68x = 32,667 × 7,735.36
  4. Step 4: Simplify right side
    21,776.68x = 252,691,005.12
  5. Step 5: Solve for x
    x = 252,691,005.12/21,776.68
  6. Step 6: Final answer
    x = 11,603.74

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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.