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Finding the Fourth Proportional to 22,585.50, 31,169.10 and 13,632.84

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Solution

The fourth proportional to 22,585.50, 31,169.10 and 13,632.84 is: 18,813.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,585.50 : 31,169.10 = 13,632.84 : x
  2. Step 2: Convert to fraction form
    22,585.50/31,169.10 = 13,632.84/x
  3. Step 3: Cross multiply
    22,585.50x = 31,169.10 × 13,632.84
  4. Step 4: Simplify right side
    22,585.50x = 424,923,353.24
  5. Step 5: Solve for x
    x = 424,923,353.24/22,585.50
  6. Step 6: Final answer
    x = 18,813.99

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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.