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Finding the Fourth Proportional to 13,930, 20,896.94 and 4,070

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Solution

The fourth proportional to 13,930, 20,896.94 and 4,070 is: 6,105.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930 : 20,896.94 = 4,070 : x
  2. Step 2: Convert to fraction form
    13,930/20,896.94 = 4,070/x
  3. Step 3: Cross multiply
    13,930x = 20,896.94 × 4,070
  4. Step 4: Simplify right side
    13,930x = 85,050,545.80
  5. Step 5: Solve for x
    x = 85,050,545.80/13,930
  6. Step 6: Final answer
    x = 6,105.57

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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.