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Finding the Fourth Proportional to 17,231.24, 23,778.90 and 9,778.76

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Solution

The fourth proportional to 17,231.24, 23,778.90 and 9,778.76 is: 13,494.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,231.24 : 23,778.90 = 9,778.76 : x
  2. Step 2: Convert to fraction form
    17,231.24/23,778.90 = 9,778.76/x
  3. Step 3: Cross multiply
    17,231.24x = 23,778.90 × 9,778.76
  4. Step 4: Simplify right side
    17,231.24x = 232,528,156.16
  5. Step 5: Solve for x
    x = 232,528,156.16/17,231.24
  6. Step 6: Final answer
    x = 13,494.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.