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Finding the Fourth Proportional to 22,838.94, 31,517.91 and 13,407.66

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Solution

The fourth proportional to 22,838.94, 31,517.91 and 13,407.66 is: 18,502.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,838.94 : 31,517.91 = 13,407.66 : x
  2. Step 2: Convert to fraction form
    22,838.94/31,517.91 = 13,407.66/x
  3. Step 3: Cross multiply
    22,838.94x = 31,517.91 × 13,407.66
  4. Step 4: Simplify right side
    22,838.94x = 422,581,421.19
  5. Step 5: Solve for x
    x = 422,581,421.19/22,838.94
  6. Step 6: Final answer
    x = 18,502.67

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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.