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Finding the Fourth Proportional to 12,098.36, 18,145.90 and 4,702.12

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Solution

The fourth proportional to 12,098.36, 18,145.90 and 4,702.12 is: 7,052.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.36 : 18,145.90 = 4,702.12 : x
  2. Step 2: Convert to fraction form
    12,098.36/18,145.90 = 4,702.12/x
  3. Step 3: Cross multiply
    12,098.36x = 18,145.90 × 4,702.12
  4. Step 4: Simplify right side
    12,098.36x = 85,324,199.31
  5. Step 5: Solve for x
    x = 85,324,199.31/12,098.36
  6. Step 6: Final answer
    x = 7,052.54

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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.