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Finding the Fourth Proportional to 12,916.80, 19,378.80 and 6,343.20

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Solution

The fourth proportional to 12,916.80, 19,378.80 and 6,343.20 is: 9,516.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.80 : 19,378.80 = 6,343.20 : x
  2. Step 2: Convert to fraction form
    12,916.80/19,378.80 = 6,343.20/x
  3. Step 3: Cross multiply
    12,916.80x = 19,378.80 × 6,343.20
  4. Step 4: Simplify right side
    12,916.80x = 122,923,604.16
  5. Step 5: Solve for x
    x = 122,923,604.16/12,916.80
  6. Step 6: Final answer
    x = 9,516.57

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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.