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Finding the Fourth Proportional to 7,173.92, 9,899.32 and 4,189.60

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Solution

The fourth proportional to 7,173.92, 9,899.32 and 4,189.60 is: 5,781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,173.92 : 9,899.32 = 4,189.60 : x
  2. Step 2: Convert to fraction form
    7,173.92/9,899.32 = 4,189.60/x
  3. Step 3: Cross multiply
    7,173.92x = 9,899.32 × 4,189.60
  4. Step 4: Simplify right side
    7,173.92x = 41,474,191.07
  5. Step 5: Solve for x
    x = 41,474,191.07/7,173.92
  6. Step 6: Final answer
    x = 5,781.25

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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.