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Finding the Fourth Proportional to 13,911.71, 20,841.42 and 6,883.57

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Solution

The fourth proportional to 13,911.71, 20,841.42 and 6,883.57 is: 10,312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.71 : 20,841.42 = 6,883.57 : x
  2. Step 2: Convert to fraction form
    13,911.71/20,841.42 = 6,883.57/x
  3. Step 3: Cross multiply
    13,911.71x = 20,841.42 × 6,883.57
  4. Step 4: Simplify right side
    13,911.71x = 143,463,269.26
  5. Step 5: Solve for x
    x = 143,463,269.26/13,911.71
  6. Step 6: Final answer
    x = 10,312.41

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1.5x scale

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.