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Finding the Fourth Proportional to 14,854.44, 20,499 and 8,140.44

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Solution

The fourth proportional to 14,854.44, 20,499 and 8,140.44 is: 11,233.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854.44 : 20,499 = 8,140.44 : x
  2. Step 2: Convert to fraction form
    14,854.44/20,499 = 8,140.44/x
  3. Step 3: Cross multiply
    14,854.44x = 20,499 × 8,140.44
  4. Step 4: Simplify right side
    14,854.44x = 166,870,879.56
  5. Step 5: Solve for x
    x = 166,870,879.56/14,854.44
  6. Step 6: Final answer
    x = 11,233.74

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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.