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Finding the Fourth Proportional to 3,460.21, 5,190.33 and 863.15

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Solution

The fourth proportional to 3,460.21, 5,190.33 and 863.15 is: 1,294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.21 : 5,190.33 = 863.15 : x
  2. Step 2: Convert to fraction form
    3,460.21/5,190.33 = 863.15/x
  3. Step 3: Cross multiply
    3,460.21x = 5,190.33 × 863.15
  4. Step 4: Simplify right side
    3,460.21x = 4,480,007.39
  5. Step 5: Solve for x
    x = 4,480,007.39/3,460.21
  6. Step 6: Final answer
    x = 1,294.72

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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.