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Finding the Fourth Proportional to 3,146.78, 4,720.34 and 806.80

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Solution

The fourth proportional to 3,146.78, 4,720.34 and 806.80 is: 1,210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.78 : 4,720.34 = 806.80 : x
  2. Step 2: Convert to fraction form
    3,146.78/4,720.34 = 806.80/x
  3. Step 3: Cross multiply
    3,146.78x = 4,720.34 × 806.80
  4. Step 4: Simplify right side
    3,146.78x = 3,808,370.31
  5. Step 5: Solve for x
    x = 3,808,370.31/3,146.78
  6. Step 6: Final answer
    x = 1,210.24

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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.