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Finding the Fourth Proportional to 14,068, 21,099.12 and 7,138.72

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Solution

The fourth proportional to 14,068, 21,099.12 and 7,138.72 is: 10,706.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,068 : 21,099.12 = 7,138.72 : x
  2. Step 2: Convert to fraction form
    14,068/21,099.12 = 7,138.72/x
  3. Step 3: Cross multiply
    14,068x = 21,099.12 × 7,138.72
  4. Step 4: Simplify right side
    14,068x = 150,620,709.93
  5. Step 5: Solve for x
    x = 150,620,709.93/14,068
  6. Step 6: Final answer
    x = 10,706.62

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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.