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Finding the Fourth Proportional to 5,471.05, 8,210.90 and 2,009.29

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Solution

The fourth proportional to 5,471.05, 8,210.90 and 2,009.29 is: 3,015.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.05 : 8,210.90 = 2,009.29 : x
  2. Step 2: Convert to fraction form
    5,471.05/8,210.90 = 2,009.29/x
  3. Step 3: Cross multiply
    5,471.05x = 8,210.90 × 2,009.29
  4. Step 4: Simplify right side
    5,471.05x = 16,498,079.26
  5. Step 5: Solve for x
    x = 16,498,079.26/5,471.05
  6. Step 6: Final answer
    x = 3,015.52

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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.