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Finding the Fourth Proportional to 3,011.54, 4,517.38 and 790.46

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Solution

The fourth proportional to 3,011.54, 4,517.38 and 790.46 is: 1,185.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.54 : 4,517.38 = 790.46 : x
  2. Step 2: Convert to fraction form
    3,011.54/4,517.38 = 790.46/x
  3. Step 3: Cross multiply
    3,011.54x = 4,517.38 × 790.46
  4. Step 4: Simplify right side
    3,011.54x = 3,570,808.19
  5. Step 5: Solve for x
    x = 3,570,808.19/3,011.54
  6. Step 6: Final answer
    x = 1,185.71

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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.