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Finding the Fourth Proportional to 13,838.76, 20,774.58 and 10,919.16

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Solution

The fourth proportional to 13,838.76, 20,774.58 and 10,919.16 is: 16,391.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.76 : 20,774.58 = 10,919.16 : x
  2. Step 2: Convert to fraction form
    13,838.76/20,774.58 = 10,919.16/x
  3. Step 3: Cross multiply
    13,838.76x = 20,774.58 × 10,919.16
  4. Step 4: Simplify right side
    13,838.76x = 226,840,962.95
  5. Step 5: Solve for x
    x = 226,840,962.95/13,838.76
  6. Step 6: Final answer
    x = 16,391.71

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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.