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Finding the Fourth Proportional to 8,559.06, 12,824 and 6,916.38

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Solution

The fourth proportional to 8,559.06, 12,824 and 6,916.38 is: 10,362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,559.06 : 12,824 = 6,916.38 : x
  2. Step 2: Convert to fraction form
    8,559.06/12,824 = 6,916.38/x
  3. Step 3: Cross multiply
    8,559.06x = 12,824 × 6,916.38
  4. Step 4: Simplify right side
    8,559.06x = 88,695,657.12
  5. Step 5: Solve for x
    x = 88,695,657.12/8,559.06
  6. Step 6: Final answer
    x = 10,362.78

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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.