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Finding the Fourth Proportional to 13,878.81, 20,814.30 and 4,992.84

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Solution

The fourth proportional to 13,878.81, 20,814.30 and 4,992.84 is: 7,487.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.81 : 20,814.30 = 4,992.84 : x
  2. Step 2: Convert to fraction form
    13,878.81/20,814.30 = 4,992.84/x
  3. Step 3: Cross multiply
    13,878.81x = 20,814.30 × 4,992.84
  4. Step 4: Simplify right side
    13,878.81x = 103,922,469.61
  5. Step 5: Solve for x
    x = 103,922,469.61/13,878.81
  6. Step 6: Final answer
    x = 7,487.85

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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.