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Finding the Fourth Proportional to 13,157.78, 19,739.90 and 9,269.78

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Solution

The fourth proportional to 13,157.78, 19,739.90 and 9,269.78 is: 13,906.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.78 : 19,739.90 = 9,269.78 : x
  2. Step 2: Convert to fraction form
    13,157.78/19,739.90 = 9,269.78/x
  3. Step 3: Cross multiply
    13,157.78x = 19,739.90 × 9,269.78
  4. Step 4: Simplify right side
    13,157.78x = 182,984,454.70
  5. Step 5: Solve for x
    x = 182,984,454.70/13,157.78
  6. Step 6: Final answer
    x = 13,906.95

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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.