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Finding the Fourth Proportional to 6,489.28, 9,734.24 and 1,809.28

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Solution

The fourth proportional to 6,489.28, 9,734.24 and 1,809.28 is: 2,714.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.28 : 9,734.24 = 1,809.28 : x
  2. Step 2: Convert to fraction form
    6,489.28/9,734.24 = 1,809.28/x
  3. Step 3: Cross multiply
    6,489.28x = 9,734.24 × 1,809.28
  4. Step 4: Simplify right side
    6,489.28x = 17,611,965.75
  5. Step 5: Solve for x
    x = 17,611,965.75/6,489.28
  6. Step 6: Final answer
    x = 2,714.01

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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.