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Finding the Fourth Proportional to 17,099.34, 25,657.89 and 12,938.11

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Solution

The fourth proportional to 17,099.34, 25,657.89 and 12,938.11 is: 19,413.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,099.34 : 25,657.89 = 12,938.11 : x
  2. Step 2: Convert to fraction form
    17,099.34/25,657.89 = 12,938.11/x
  3. Step 3: Cross multiply
    17,099.34x = 25,657.89 × 12,938.11
  4. Step 4: Simplify right side
    17,099.34x = 331,964,490.53
  5. Step 5: Solve for x
    x = 331,964,490.53/17,099.34
  6. Step 6: Final answer
    x = 19,413.88

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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.