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Finding the Fourth Proportional to 13,981, 20,919.16 and 8,338.04

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Solution

The fourth proportional to 13,981, 20,919.16 and 8,338.04 is: 12,475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,981 : 20,919.16 = 8,338.04 : x
  2. Step 2: Convert to fraction form
    13,981/20,919.16 = 8,338.04/x
  3. Step 3: Cross multiply
    13,981x = 20,919.16 × 8,338.04
  4. Step 4: Simplify right side
    13,981x = 174,424,792.85
  5. Step 5: Solve for x
    x = 174,424,792.85/13,981
  6. Step 6: Final answer
    x = 12,475.85

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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.