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Finding the Fourth Proportional to 22,931.30, 31,653.05 and 13,861.73

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Solution

The fourth proportional to 22,931.30, 31,653.05 and 13,861.73 is: 19,133.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,931.30 : 31,653.05 = 13,861.73 : x
  2. Step 2: Convert to fraction form
    22,931.30/31,653.05 = 13,861.73/x
  3. Step 3: Cross multiply
    22,931.30x = 31,653.05 × 13,861.73
  4. Step 4: Simplify right side
    22,931.30x = 438,766,042.60
  5. Step 5: Solve for x
    x = 438,766,042.60/22,931.30
  6. Step 6: Final answer
    x = 19,133.93

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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.