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Finding the Fourth Proportional to 14,514, 20,028.80 and 8,226.24

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Solution

The fourth proportional to 14,514, 20,028.80 and 8,226.24 is: 11,351.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,514 : 20,028.80 = 8,226.24 : x
  2. Step 2: Convert to fraction form
    14,514/20,028.80 = 8,226.24/x
  3. Step 3: Cross multiply
    14,514x = 20,028.80 × 8,226.24
  4. Step 4: Simplify right side
    14,514x = 164,761,715.71
  5. Step 5: Solve for x
    x = 164,761,715.71/14,514
  6. Step 6: Final answer
    x = 11,351.92

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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.