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Finding the Fourth Proportional to 14,788.17, 20,408.16 and 8,074.31

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Solution

The fourth proportional to 14,788.17, 20,408.16 and 8,074.31 is: 11,142.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,788.17 : 20,408.16 = 8,074.31 : x
  2. Step 2: Convert to fraction form
    14,788.17/20,408.16 = 8,074.31/x
  3. Step 3: Cross multiply
    14,788.17x = 20,408.16 × 8,074.31
  4. Step 4: Simplify right side
    14,788.17x = 164,781,716.32
  5. Step 5: Solve for x
    x = 164,781,716.32/14,788.17
  6. Step 6: Final answer
    x = 11,142.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.