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Finding the Fourth Proportional to 23,021.84, 31,767.89 and 12,950.08

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Solution

The fourth proportional to 23,021.84, 31,767.89 and 12,950.08 is: 17,869.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,021.84 : 31,767.89 = 12,950.08 : x
  2. Step 2: Convert to fraction form
    23,021.84/31,767.89 = 12,950.08/x
  3. Step 3: Cross multiply
    23,021.84x = 31,767.89 × 12,950.08
  4. Step 4: Simplify right side
    23,021.84x = 411,396,572.76
  5. Step 5: Solve for x
    x = 411,396,572.76/23,021.84
  6. Step 6: Final answer
    x = 17,869.84

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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.