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Finding the Fourth Proportional to 5,311.32, 7,964.28 and 1,800.24

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Solution

The fourth proportional to 5,311.32, 7,964.28 and 1,800.24 is: 2,699.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.32 : 7,964.28 = 1,800.24 : x
  2. Step 2: Convert to fraction form
    5,311.32/7,964.28 = 1,800.24/x
  3. Step 3: Cross multiply
    5,311.32x = 7,964.28 × 1,800.24
  4. Step 4: Simplify right side
    5,311.32x = 14,337,615.43
  5. Step 5: Solve for x
    x = 14,337,615.43/5,311.32
  6. Step 6: Final answer
    x = 2,699.44

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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.