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Finding the Fourth Proportional to 12,098.34, 18,154.50 and 5,077.74

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Solution

The fourth proportional to 12,098.34, 18,154.50 and 5,077.74 is: 7,619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.34 : 18,154.50 = 5,077.74 : x
  2. Step 2: Convert to fraction form
    12,098.34/18,154.50 = 5,077.74/x
  3. Step 3: Cross multiply
    12,098.34x = 18,154.50 × 5,077.74
  4. Step 4: Simplify right side
    12,098.34x = 92,183,830.83
  5. Step 5: Solve for x
    x = 92,183,830.83/12,098.34
  6. Step 6: Final answer
    x = 7,619.54

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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.