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Finding the Fourth Proportional to 14,414.16, 19,891.80 and 8,447.52

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Solution

The fourth proportional to 14,414.16, 19,891.80 and 8,447.52 is: 11,657.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.16 : 19,891.80 = 8,447.52 : x
  2. Step 2: Convert to fraction form
    14,414.16/19,891.80 = 8,447.52/x
  3. Step 3: Cross multiply
    14,414.16x = 19,891.80 × 8,447.52
  4. Step 4: Simplify right side
    14,414.16x = 168,036,378.34
  5. Step 5: Solve for x
    x = 168,036,378.34/14,414.16
  6. Step 6: Final answer
    x = 11,657.73

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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.