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Finding the Fourth Proportional to 13,879.46, 20,817.84 and 7,637.42

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Solution

The fourth proportional to 13,879.46, 20,817.84 and 7,637.42 is: 11,455.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,879.46 : 20,817.84 = 7,637.42 : x
  2. Step 2: Convert to fraction form
    13,879.46/20,817.84 = 7,637.42/x
  3. Step 3: Cross multiply
    13,879.46x = 20,817.84 × 7,637.42
  4. Step 4: Simplify right side
    13,879.46x = 158,994,587.57
  5. Step 5: Solve for x
    x = 158,994,587.57/13,879.46
  6. Step 6: Final answer
    x = 11,455.39

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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.