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Finding the Fourth Proportional to 2,490.62, 3,437.22 and 1,649.87

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Solution

The fourth proportional to 2,490.62, 3,437.22 and 1,649.87 is: 2,276.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.62 : 3,437.22 = 1,649.87 : x
  2. Step 2: Convert to fraction form
    2,490.62/3,437.22 = 1,649.87/x
  3. Step 3: Cross multiply
    2,490.62x = 3,437.22 × 1,649.87
  4. Step 4: Simplify right side
    2,490.62x = 5,670,948.98
  5. Step 5: Solve for x
    x = 5,670,948.98/2,490.62
  6. Step 6: Final answer
    x = 2,276.93

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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.