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Finding the Fourth Proportional to 2,458.98, 3,687.66 and 997.74

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Solution

The fourth proportional to 2,458.98, 3,687.66 and 997.74 is: 1,496.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.98 : 3,687.66 = 997.74 : x
  2. Step 2: Convert to fraction form
    2,458.98/3,687.66 = 997.74/x
  3. Step 3: Cross multiply
    2,458.98x = 3,687.66 × 997.74
  4. Step 4: Simplify right side
    2,458.98x = 3,679,325.89
  5. Step 5: Solve for x
    x = 3,679,325.89/2,458.98
  6. Step 6: Final answer
    x = 1,496.28

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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.