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Finding the Fourth Proportional to 22,964.30, 31,690.61 and 12,892.74

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Solution

The fourth proportional to 22,964.30, 31,690.61 and 12,892.74 is: 17,791.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,964.30 : 31,690.61 = 12,892.74 : x
  2. Step 2: Convert to fraction form
    22,964.30/31,690.61 = 12,892.74/x
  3. Step 3: Cross multiply
    22,964.30x = 31,690.61 × 12,892.74
  4. Step 4: Simplify right side
    22,964.30x = 408,578,660.22
  5. Step 5: Solve for x
    x = 408,578,660.22/22,964.30
  6. Step 6: Final answer
    x = 17,791.91

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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.