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Finding the Fourth Proportional to 22,816.96, 31,487.07 and 12,745.54

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Solution

The fourth proportional to 22,816.96, 31,487.07 and 12,745.54 is: 17,588.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,816.96 : 31,487.07 = 12,745.54 : x
  2. Step 2: Convert to fraction form
    22,816.96/31,487.07 = 12,745.54/x
  3. Step 3: Cross multiply
    22,816.96x = 31,487.07 × 12,745.54
  4. Step 4: Simplify right side
    22,816.96x = 401,319,710.17
  5. Step 5: Solve for x
    x = 401,319,710.17/22,816.96
  6. Step 6: Final answer
    x = 17,588.66

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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.