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Finding the Fourth Proportional to 13,878.93, 20,814.92 and 5,447.15

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Solution

The fourth proportional to 13,878.93, 20,814.92 and 5,447.15 is: 8,169.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.93 : 20,814.92 = 5,447.15 : x
  2. Step 2: Convert to fraction form
    13,878.93/20,814.92 = 5,447.15/x
  3. Step 3: Cross multiply
    13,878.93x = 20,814.92 × 5,447.15
  4. Step 4: Simplify right side
    13,878.93x = 113,381,860.17
  5. Step 5: Solve for x
    x = 113,381,860.17/13,878.93
  6. Step 6: Final answer
    x = 8,169.35

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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.