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Finding the Fourth Proportional to 4,689.05, 6,471.12 and 2,699.88

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Solution

The fourth proportional to 4,689.05, 6,471.12 and 2,699.88 is: 3,725.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.05 : 6,471.12 = 2,699.88 : x
  2. Step 2: Convert to fraction form
    4,689.05/6,471.12 = 2,699.88/x
  3. Step 3: Cross multiply
    4,689.05x = 6,471.12 × 2,699.88
  4. Step 4: Simplify right side
    4,689.05x = 17,471,247.47
  5. Step 5: Solve for x
    x = 17,471,247.47/4,689.05
  6. Step 6: Final answer
    x = 3,725.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.