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Finding the Fourth Proportional to 4,976.91, 7,466.27 and 1,689.71

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Solution

The fourth proportional to 4,976.91, 7,466.27 and 1,689.71 is: 2,534.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.91 : 7,466.27 = 1,689.71 : x
  2. Step 2: Convert to fraction form
    4,976.91/7,466.27 = 1,689.71/x
  3. Step 3: Cross multiply
    4,976.91x = 7,466.27 × 1,689.71
  4. Step 4: Simplify right side
    4,976.91x = 12,615,785.30
  5. Step 5: Solve for x
    x = 12,615,785.30/4,976.91
  6. Step 6: Final answer
    x = 2,534.86

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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.