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Finding the Fourth Proportional to 14,414.17, 19,893.48 and 8,448.21

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Solution

The fourth proportional to 14,414.17, 19,893.48 and 8,448.21 is: 11,659.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.17 : 19,893.48 = 8,448.21 : x
  2. Step 2: Convert to fraction form
    14,414.17/19,893.48 = 8,448.21/x
  3. Step 3: Cross multiply
    14,414.17x = 19,893.48 × 8,448.21
  4. Step 4: Simplify right side
    14,414.17x = 168,064,296.67
  5. Step 5: Solve for x
    x = 168,064,296.67/14,414.17
  6. Step 6: Final answer
    x = 11,659.66

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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.