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Finding the Fourth Proportional to 8,916.13, 13,381.98 and 6,954.31

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Solution

The fourth proportional to 8,916.13, 13,381.98 and 6,954.31 is: 10,437.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,916.13 : 13,381.98 = 6,954.31 : x
  2. Step 2: Convert to fraction form
    8,916.13/13,381.98 = 6,954.31/x
  3. Step 3: Cross multiply
    8,916.13x = 13,381.98 × 6,954.31
  4. Step 4: Simplify right side
    8,916.13x = 93,062,437.33
  5. Step 5: Solve for x
    x = 93,062,437.33/8,916.13
  6. Step 6: Final answer
    x = 10,437.54

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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.