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Finding the Fourth Proportional to 14,734.50, 20,333 and 8,020.14

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Solution

The fourth proportional to 14,734.50, 20,333 and 8,020.14 is: 11,067.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,734.50 : 20,333 = 8,020.14 : x
  2. Step 2: Convert to fraction form
    14,734.50/20,333 = 8,020.14/x
  3. Step 3: Cross multiply
    14,734.50x = 20,333 × 8,020.14
  4. Step 4: Simplify right side
    14,734.50x = 163,073,506.62
  5. Step 5: Solve for x
    x = 163,073,506.62/14,734.50
  6. Step 6: Final answer
    x = 11,067.46

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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.