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Finding the Fourth Proportional to 18,679.68, 25,778.16 and 10,182

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Solution

The fourth proportional to 18,679.68, 25,778.16 and 10,182 is: 14,051.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,679.68 : 25,778.16 = 10,182 : x
  2. Step 2: Convert to fraction form
    18,679.68/25,778.16 = 10,182/x
  3. Step 3: Cross multiply
    18,679.68x = 25,778.16 × 10,182
  4. Step 4: Simplify right side
    18,679.68x = 262,473,225.12
  5. Step 5: Solve for x
    x = 262,473,225.12/18,679.68
  6. Step 6: Final answer
    x = 14,051.27

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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.