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Finding the Fourth Proportional to 3,164.81, 4,723.20 and 3,091.10

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Solution

The fourth proportional to 3,164.81, 4,723.20 and 3,091.10 is: 4,613.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.81 : 4,723.20 = 3,091.10 : x
  2. Step 2: Convert to fraction form
    3,164.81/4,723.20 = 3,091.10/x
  3. Step 3: Cross multiply
    3,164.81x = 4,723.20 × 3,091.10
  4. Step 4: Simplify right side
    3,164.81x = 14,599,868.06
  5. Step 5: Solve for x
    x = 14,599,868.06/3,164.81
  6. Step 6: Final answer
    x = 4,613.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.