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Finding the Fourth Proportional to 13,874.20, 19,141 and 8,559.80

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Solution

The fourth proportional to 13,874.20, 19,141 and 8,559.80 is: 11,809.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.20 : 19,141 = 8,559.80 : x
  2. Step 2: Convert to fraction form
    13,874.20/19,141 = 8,559.80/x
  3. Step 3: Cross multiply
    13,874.20x = 19,141 × 8,559.80
  4. Step 4: Simplify right side
    13,874.20x = 163,843,131.80
  5. Step 5: Solve for x
    x = 163,843,131.80/13,874.20
  6. Step 6: Final answer
    x = 11,809.19

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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.