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Finding the Fourth Proportional to 13,904.87, 20,854.06 and 6,514.43

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Solution

The fourth proportional to 13,904.87, 20,854.06 and 6,514.43 is: 9,770.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,904.87 : 20,854.06 = 6,514.43 : x
  2. Step 2: Convert to fraction form
    13,904.87/20,854.06 = 6,514.43/x
  3. Step 3: Cross multiply
    13,904.87x = 20,854.06 × 6,514.43
  4. Step 4: Simplify right side
    13,904.87x = 135,852,193.53
  5. Step 5: Solve for x
    x = 135,852,193.53/13,904.87
  6. Step 6: Final answer
    x = 9,770.12

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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.