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Finding the Fourth Proportional to 6,887.94, 10,331.64 and 3,964.20

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Solution

The fourth proportional to 6,887.94, 10,331.64 and 3,964.20 is: 5,946.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,887.94 : 10,331.64 = 3,964.20 : x
  2. Step 2: Convert to fraction form
    6,887.94/10,331.64 = 3,964.20/x
  3. Step 3: Cross multiply
    6,887.94x = 10,331.64 × 3,964.20
  4. Step 4: Simplify right side
    6,887.94x = 40,956,687.29
  5. Step 5: Solve for x
    x = 40,956,687.29/6,887.94
  6. Step 6: Final answer
    x = 5,946.14

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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.