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Finding the Fourth Proportional to 13,817.84, 19,078.44 and 8,514.32

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Solution

The fourth proportional to 13,817.84, 19,078.44 and 8,514.32 is: 11,755.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.84 : 19,078.44 = 8,514.32 : x
  2. Step 2: Convert to fraction form
    13,817.84/19,078.44 = 8,514.32/x
  3. Step 3: Cross multiply
    13,817.84x = 19,078.44 × 8,514.32
  4. Step 4: Simplify right side
    13,817.84x = 162,439,943.26
  5. Step 5: Solve for x
    x = 162,439,943.26/13,817.84
  6. Step 6: Final answer
    x = 11,755.81

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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.