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Finding the Fourth Proportional to 22,586.63, 31,169.99 and 13,155.80

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Solution

The fourth proportional to 22,586.63, 31,169.99 and 13,155.80 is: 18,155.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,586.63 : 31,169.99 = 13,155.80 : x
  2. Step 2: Convert to fraction form
    22,586.63/31,169.99 = 13,155.80/x
  3. Step 3: Cross multiply
    22,586.63x = 31,169.99 × 13,155.80
  4. Step 4: Simplify right side
    22,586.63x = 410,066,031.48
  5. Step 5: Solve for x
    x = 410,066,031.48/22,586.63
  6. Step 6: Final answer
    x = 18,155.26

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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.