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Finding the Fourth Proportional to 5,471.60, 8,210.30 and 3,164.72

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Solution

The fourth proportional to 5,471.60, 8,210.30 and 3,164.72 is: 4,748.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.60 : 8,210.30 = 3,164.72 : x
  2. Step 2: Convert to fraction form
    5,471.60/8,210.30 = 3,164.72/x
  3. Step 3: Cross multiply
    5,471.60x = 8,210.30 × 3,164.72
  4. Step 4: Simplify right side
    5,471.60x = 25,983,300.62
  5. Step 5: Solve for x
    x = 25,983,300.62/5,471.60
  6. Step 6: Final answer
    x = 4,748.76

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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.