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Finding the Fourth Proportional to 4,977.09, 7,460.97 and 1,687.86

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Solution

The fourth proportional to 4,977.09, 7,460.97 and 1,687.86 is: 2,530.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.09 : 7,460.97 = 1,687.86 : x
  2. Step 2: Convert to fraction form
    4,977.09/7,460.97 = 1,687.86/x
  3. Step 3: Cross multiply
    4,977.09x = 7,460.97 × 1,687.86
  4. Step 4: Simplify right side
    4,977.09x = 12,593,072.82
  5. Step 5: Solve for x
    x = 12,593,072.82/4,977.09
  6. Step 6: Final answer
    x = 2,530.21

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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.