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Finding the Fourth Proportional to 22,886.96, 31,571.10 and 13,325.72

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Solution

The fourth proportional to 22,886.96, 31,571.10 and 13,325.72 is: 18,381.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,886.96 : 31,571.10 = 13,325.72 : x
  2. Step 2: Convert to fraction form
    22,886.96/31,571.10 = 13,325.72/x
  3. Step 3: Cross multiply
    22,886.96x = 31,571.10 × 13,325.72
  4. Step 4: Simplify right side
    22,886.96x = 420,707,480.84
  5. Step 5: Solve for x
    x = 420,707,480.84/22,886.96
  6. Step 6: Final answer
    x = 18,381.98

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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.