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Finding the Fourth Proportional to 22,589.74, 31,174.62 and 13,635.49

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Solution

The fourth proportional to 22,589.74, 31,174.62 and 13,635.49 is: 18,817.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,589.74 : 31,174.62 = 13,635.49 : x
  2. Step 2: Convert to fraction form
    22,589.74/31,174.62 = 13,635.49/x
  3. Step 3: Cross multiply
    22,589.74x = 31,174.62 × 13,635.49
  4. Step 4: Simplify right side
    22,589.74x = 425,081,225.35
  5. Step 5: Solve for x
    x = 425,081,225.35/22,589.74
  6. Step 6: Final answer
    x = 18,817.45

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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.