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Finding the Fourth Proportional to 12,099, 18,156.60 and 5,175.12

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Solution

The fourth proportional to 12,099, 18,156.60 and 5,175.12 is: 7,766.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099 : 18,156.60 = 5,175.12 : x
  2. Step 2: Convert to fraction form
    12,099/18,156.60 = 5,175.12/x
  3. Step 3: Cross multiply
    12,099x = 18,156.60 × 5,175.12
  4. Step 4: Simplify right side
    12,099x = 93,962,583.79
  5. Step 5: Solve for x
    x = 93,962,583.79/12,099
  6. Step 6: Final answer
    x = 7,766.14

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1.5x scale

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.