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Finding the Fourth Proportional to 3,164.91, 4,747.36 and 856.41

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Solution

The fourth proportional to 3,164.91, 4,747.36 and 856.41 is: 1,284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.91 : 4,747.36 = 856.41 : x
  2. Step 2: Convert to fraction form
    3,164.91/4,747.36 = 856.41/x
  3. Step 3: Cross multiply
    3,164.91x = 4,747.36 × 856.41
  4. Step 4: Simplify right side
    3,164.91x = 4,065,668.24
  5. Step 5: Solve for x
    x = 4,065,668.24/3,164.91
  6. Step 6: Final answer
    x = 1,284.61

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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.