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Finding the Fourth Proportional to 7,189.92, 9,920 and 4,164.78

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Solution

The fourth proportional to 7,189.92, 9,920 and 4,164.78 is: 5,746.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.92 : 9,920 = 4,164.78 : x
  2. Step 2: Convert to fraction form
    7,189.92/9,920 = 4,164.78/x
  3. Step 3: Cross multiply
    7,189.92x = 9,920 × 4,164.78
  4. Step 4: Simplify right side
    7,189.92x = 41,314,617.60
  5. Step 5: Solve for x
    x = 41,314,617.60/7,189.92
  6. Step 6: Final answer
    x = 5,746.19

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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.