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Finding the Fourth Proportional to 13,786.39, 19,024.94 and 7,818.11

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Solution

The fourth proportional to 13,786.39, 19,024.94 and 7,818.11 is: 10,788.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,786.39 : 19,024.94 = 7,818.11 : x
  2. Step 2: Convert to fraction form
    13,786.39/19,024.94 = 7,818.11/x
  3. Step 3: Cross multiply
    13,786.39x = 19,024.94 × 7,818.11
  4. Step 4: Simplify right side
    13,786.39x = 148,739,073.66
  5. Step 5: Solve for x
    x = 148,739,073.66/13,786.39
  6. Step 6: Final answer
    x = 10,788.83

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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.