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Finding the Fourth Proportional to 18,624.32, 27,930.55 and 6,142.02

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Solution

The fourth proportional to 18,624.32, 27,930.55 and 6,142.02 is: 9,211.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,624.32 : 27,930.55 = 6,142.02 : x
  2. Step 2: Convert to fraction form
    18,624.32/27,930.55 = 6,142.02/x
  3. Step 3: Cross multiply
    18,624.32x = 27,930.55 × 6,142.02
  4. Step 4: Simplify right side
    18,624.32x = 171,549,996.71
  5. Step 5: Solve for x
    x = 171,549,996.71/18,624.32
  6. Step 6: Final answer
    x = 9,211.07

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