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Finding the Fourth Proportional to 4,190.92, 5,780.12 and 3,719.16

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Solution

The fourth proportional to 4,190.92, 5,780.12 and 3,719.16 is: 5,129.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190.92 : 5,780.12 = 3,719.16 : x
  2. Step 2: Convert to fraction form
    4,190.92/5,780.12 = 3,719.16/x
  3. Step 3: Cross multiply
    4,190.92x = 5,780.12 × 3,719.16
  4. Step 4: Simplify right side
    4,190.92x = 21,497,191.10
  5. Step 5: Solve for x
    x = 21,497,191.10/4,190.92
  6. Step 6: Final answer
    x = 5,129.47

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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.