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Finding the Fourth Proportional to 6,471.20, 9,712.20 and 3,187.10

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Solution

The fourth proportional to 6,471.20, 9,712.20 and 3,187.10 is: 4,783.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.20 : 9,712.20 = 3,187.10 : x
  2. Step 2: Convert to fraction form
    6,471.20/9,712.20 = 3,187.10/x
  3. Step 3: Cross multiply
    6,471.20x = 9,712.20 × 3,187.10
  4. Step 4: Simplify right side
    6,471.20x = 30,953,752.62
  5. Step 5: Solve for x
    x = 30,953,752.62/6,471.20
  6. Step 6: Final answer
    x = 4,783.31

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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.