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Finding the Fourth Proportional to 18,121, 27,181.68 and 6,434.68

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Solution

The fourth proportional to 18,121, 27,181.68 and 6,434.68 is: 9,652.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,121 : 27,181.68 = 6,434.68 : x
  2. Step 2: Convert to fraction form
    18,121/27,181.68 = 6,434.68/x
  3. Step 3: Cross multiply
    18,121x = 27,181.68 × 6,434.68
  4. Step 4: Simplify right side
    18,121x = 174,905,412.66
  5. Step 5: Solve for x
    x = 174,905,412.66/18,121
  6. Step 6: Final answer
    x = 9,652.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.