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Finding the Fourth Proportional to 3,091.68, 4,636.68 and 1,142.80

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Solution

The fourth proportional to 3,091.68, 4,636.68 and 1,142.80 is: 1,713.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.68 : 4,636.68 = 1,142.80 : x
  2. Step 2: Convert to fraction form
    3,091.68/4,636.68 = 1,142.80/x
  3. Step 3: Cross multiply
    3,091.68x = 4,636.68 × 1,142.80
  4. Step 4: Simplify right side
    3,091.68x = 5,298,797.90
  5. Step 5: Solve for x
    x = 5,298,797.90/3,091.68
  6. Step 6: Final answer
    x = 1,713.89

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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.