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Finding the Fourth Proportional to 1,694.76, 2,507.52 and 1,689.90

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Solution

The fourth proportional to 1,694.76, 2,507.52 and 1,689.90 is: 2,500.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.76 : 2,507.52 = 1,689.90 : x
  2. Step 2: Convert to fraction form
    1,694.76/2,507.52 = 1,689.90/x
  3. Step 3: Cross multiply
    1,694.76x = 2,507.52 × 1,689.90
  4. Step 4: Simplify right side
    1,694.76x = 4,237,458.05
  5. Step 5: Solve for x
    x = 4,237,458.05/1,694.76
  6. Step 6: Final answer
    x = 2,500.33

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.