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Finding the Fourth Proportional to 3,427.91, 5,142.11 and 3,019.86

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Solution

The fourth proportional to 3,427.91, 5,142.11 and 3,019.86 is: 4,530.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.91 : 5,142.11 = 3,019.86 : x
  2. Step 2: Convert to fraction form
    3,427.91/5,142.11 = 3,019.86/x
  3. Step 3: Cross multiply
    3,427.91x = 5,142.11 × 3,019.86
  4. Step 4: Simplify right side
    3,427.91x = 15,528,437.21
  5. Step 5: Solve for x
    x = 15,528,437.21/3,427.91
  6. Step 6: Final answer
    x = 4,530.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.