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Finding the Fourth Proportional to 18,562.82, 27,838.71 and 5,411

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Solution

The fourth proportional to 18,562.82, 27,838.71 and 5,411 is: 8,114.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,562.82 : 27,838.71 = 5,411 : x
  2. Step 2: Convert to fraction form
    18,562.82/27,838.71 = 5,411/x
  3. Step 3: Cross multiply
    18,562.82x = 27,838.71 × 5,411
  4. Step 4: Simplify right side
    18,562.82x = 150,635,259.81
  5. Step 5: Solve for x
    x = 150,635,259.81/18,562.82
  6. Step 6: Final answer
    x = 8,114.89

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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.