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Finding the Fourth Proportional to 2,665.64, 3,680.30 and 1,721.86

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Solution

The fourth proportional to 2,665.64, 3,680.30 and 1,721.86 is: 2,377.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.64 : 3,680.30 = 1,721.86 : x
  2. Step 2: Convert to fraction form
    2,665.64/3,680.30 = 1,721.86/x
  3. Step 3: Cross multiply
    2,665.64x = 3,680.30 × 1,721.86
  4. Step 4: Simplify right side
    2,665.64x = 6,336,961.36
  5. Step 5: Solve for x
    x = 6,336,961.36/2,665.64
  6. Step 6: Final answer
    x = 2,377.28

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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.