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Finding the Fourth Proportional to 4,976.87, 7,464.80 and 1,689.91

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Solution

The fourth proportional to 4,976.87, 7,464.80 and 1,689.91 is: 2,534.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.87 : 7,464.80 = 1,689.91 : x
  2. Step 2: Convert to fraction form
    4,976.87/7,464.80 = 1,689.91/x
  3. Step 3: Cross multiply
    4,976.87x = 7,464.80 × 1,689.91
  4. Step 4: Simplify right side
    4,976.87x = 12,614,853.72
  5. Step 5: Solve for x
    x = 12,614,853.72/4,976.87
  6. Step 6: Final answer
    x = 2,534.70

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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.