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Finding the Fourth Proportional to 13,414.80, 20,141.40 and 7,582.80

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Solution

The fourth proportional to 13,414.80, 20,141.40 and 7,582.80 is: 11,385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.80 : 20,141.40 = 7,582.80 : x
  2. Step 2: Convert to fraction form
    13,414.80/20,141.40 = 7,582.80/x
  3. Step 3: Cross multiply
    13,414.80x = 20,141.40 × 7,582.80
  4. Step 4: Simplify right side
    13,414.80x = 152,728,207.92
  5. Step 5: Solve for x
    x = 152,728,207.92/13,414.80
  6. Step 6: Final answer
    x = 11,385.05

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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.