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Finding the Fourth Proportional to 9,909.39, 13,674.92 and 5,372.20

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Solution

The fourth proportional to 9,909.39, 13,674.92 and 5,372.20 is: 7,413.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.39 : 13,674.92 = 5,372.20 : x
  2. Step 2: Convert to fraction form
    9,909.39/13,674.92 = 5,372.20/x
  3. Step 3: Cross multiply
    9,909.39x = 13,674.92 × 5,372.20
  4. Step 4: Simplify right side
    9,909.39x = 73,464,405.22
  5. Step 5: Solve for x
    x = 73,464,405.22/9,909.39
  6. Step 6: Final answer
    x = 7,413.62

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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.