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Finding the Fourth Proportional to 9,379.80, 12,944.22 and 5,188.20

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Solution

The fourth proportional to 9,379.80, 12,944.22 and 5,188.20 is: 7,159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,379.80 : 12,944.22 = 5,188.20 : x
  2. Step 2: Convert to fraction form
    9,379.80/12,944.22 = 5,188.20/x
  3. Step 3: Cross multiply
    9,379.80x = 12,944.22 × 5,188.20
  4. Step 4: Simplify right side
    9,379.80x = 67,157,202.20
  5. Step 5: Solve for x
    x = 67,157,202.20/9,379.80
  6. Step 6: Final answer
    x = 7,159.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.