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Finding the Fourth Proportional to 5,811.32, 8,019.68 and 3,158.74

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Solution

The fourth proportional to 5,811.32, 8,019.68 and 3,158.74 is: 4,359.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.32 : 8,019.68 = 3,158.74 : x
  2. Step 2: Convert to fraction form
    5,811.32/8,019.68 = 3,158.74/x
  3. Step 3: Cross multiply
    5,811.32x = 8,019.68 × 3,158.74
  4. Step 4: Simplify right side
    5,811.32x = 25,332,084.00
  5. Step 5: Solve for x
    x = 25,332,084.00/5,811.32
  6. Step 6: Final answer
    x = 4,359.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.