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Finding the Fourth Proportional to 18,641.90, 27,954.64 and 9,874.76

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Solution

The fourth proportional to 18,641.90, 27,954.64 and 9,874.76 is: 14,807.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,641.90 : 27,954.64 = 9,874.76 : x
  2. Step 2: Convert to fraction form
    18,641.90/27,954.64 = 9,874.76/x
  3. Step 3: Cross multiply
    18,641.90x = 27,954.64 × 9,874.76
  4. Step 4: Simplify right side
    18,641.90x = 276,045,360.89
  5. Step 5: Solve for x
    x = 276,045,360.89/18,641.90
  6. Step 6: Final answer
    x = 14,807.79

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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.