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Finding the Fourth Proportional to 7,311.64, 10,964.18 and 2,116.32

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Solution

The fourth proportional to 7,311.64, 10,964.18 and 2,116.32 is: 3,173.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.64 : 10,964.18 = 2,116.32 : x
  2. Step 2: Convert to fraction form
    7,311.64/10,964.18 = 2,116.32/x
  3. Step 3: Cross multiply
    7,311.64x = 10,964.18 × 2,116.32
  4. Step 4: Simplify right side
    7,311.64x = 23,203,713.42
  5. Step 5: Solve for x
    x = 23,203,713.42/7,311.64
  6. Step 6: Final answer
    x = 3,173.53

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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.