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Finding the Fourth Proportional to 13,819.16, 19,065.03 and 8,504.75

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Solution

The fourth proportional to 13,819.16, 19,065.03 and 8,504.75 is: 11,733.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.16 : 19,065.03 = 8,504.75 : x
  2. Step 2: Convert to fraction form
    13,819.16/19,065.03 = 8,504.75/x
  3. Step 3: Cross multiply
    13,819.16x = 19,065.03 × 8,504.75
  4. Step 4: Simplify right side
    13,819.16x = 162,143,218.57
  5. Step 5: Solve for x
    x = 162,143,218.57/13,819.16
  6. Step 6: Final answer
    x = 11,733.22

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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.