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Finding the Fourth Proportional to 8,916.85, 13,356.30 and 7,243.11

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Solution

The fourth proportional to 8,916.85, 13,356.30 and 7,243.11 is: 10,849.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,916.85 : 13,356.30 = 7,243.11 : x
  2. Step 2: Convert to fraction form
    8,916.85/13,356.30 = 7,243.11/x
  3. Step 3: Cross multiply
    8,916.85x = 13,356.30 × 7,243.11
  4. Step 4: Simplify right side
    8,916.85x = 96,741,177.25
  5. Step 5: Solve for x
    x = 96,741,177.25/8,916.85
  6. Step 6: Final answer
    x = 10,849.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.