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Finding the Fourth Proportional to 6,072, 9,107.84 and 1,689.28

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Solution

The fourth proportional to 6,072, 9,107.84 and 1,689.28 is: 2,533.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072 : 9,107.84 = 1,689.28 : x
  2. Step 2: Convert to fraction form
    6,072/9,107.84 = 1,689.28/x
  3. Step 3: Cross multiply
    6,072x = 9,107.84 × 1,689.28
  4. Step 4: Simplify right side
    6,072x = 15,385,691.96
  5. Step 5: Solve for x
    x = 15,385,691.96/6,072
  6. Step 6: Final answer
    x = 2,533.88

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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.