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Finding the Fourth Proportional to 13,373.67, 18,470.22 and 8,916.33

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Solution

The fourth proportional to 13,373.67, 18,470.22 and 8,916.33 is: 12,314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,373.67 : 18,470.22 = 8,916.33 : x
  2. Step 2: Convert to fraction form
    13,373.67/18,470.22 = 8,916.33/x
  3. Step 3: Cross multiply
    13,373.67x = 18,470.22 × 8,916.33
  4. Step 4: Simplify right side
    13,373.67x = 164,686,576.69
  5. Step 5: Solve for x
    x = 164,686,576.69/13,373.67
  6. Step 6: Final answer
    x = 12,314.24

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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.