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Finding the Fourth Proportional to 22,633.90, 31,238.65 and 13,072.07

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Solution

The fourth proportional to 22,633.90, 31,238.65 and 13,072.07 is: 18,041.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,633.90 : 31,238.65 = 13,072.07 : x
  2. Step 2: Convert to fraction form
    22,633.90/31,238.65 = 13,072.07/x
  3. Step 3: Cross multiply
    22,633.90x = 31,238.65 × 13,072.07
  4. Step 4: Simplify right side
    22,633.90x = 408,353,938.45
  5. Step 5: Solve for x
    x = 408,353,938.45/22,633.90
  6. Step 6: Final answer
    x = 18,041.69

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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.