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Finding the Fourth Proportional to 6,471.74, 9,726.07 and 3,187.12

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Solution

The fourth proportional to 6,471.74, 9,726.07 and 3,187.12 is: 4,789.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.74 : 9,726.07 = 3,187.12 : x
  2. Step 2: Convert to fraction form
    6,471.74/9,726.07 = 3,187.12/x
  3. Step 3: Cross multiply
    6,471.74x = 9,726.07 × 3,187.12
  4. Step 4: Simplify right side
    6,471.74x = 30,998,152.22
  5. Step 5: Solve for x
    x = 30,998,152.22/6,471.74
  6. Step 6: Final answer
    x = 4,789.77

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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.