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Finding the Fourth Proportional to 18,577.84, 27,867.36 and 5,429.08

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Solution

The fourth proportional to 18,577.84, 27,867.36 and 5,429.08 is: 8,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,577.84 : 27,867.36 = 5,429.08 : x
  2. Step 2: Convert to fraction form
    18,577.84/27,867.36 = 5,429.08/x
  3. Step 3: Cross multiply
    18,577.84x = 27,867.36 × 5,429.08
  4. Step 4: Simplify right side
    18,577.84x = 151,294,126.83
  5. Step 5: Solve for x
    x = 151,294,126.83/18,577.84
  6. Step 6: Final answer
    x = 8,143.80

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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.