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Finding the Fourth Proportional to 14,651.82, 20,219.04 and 8,278.65

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Solution

The fourth proportional to 14,651.82, 20,219.04 and 8,278.65 is: 11,424.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.82 : 20,219.04 = 8,278.65 : x
  2. Step 2: Convert to fraction form
    14,651.82/20,219.04 = 8,278.65/x
  3. Step 3: Cross multiply
    14,651.82x = 20,219.04 × 8,278.65
  4. Step 4: Simplify right side
    14,651.82x = 167,386,355.50
  5. Step 5: Solve for x
    x = 167,386,355.50/14,651.82
  6. Step 6: Final answer
    x = 11,424.27

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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.