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Finding the Fourth Proportional to 2,490.81, 3,436 and 1,900.32

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Solution

The fourth proportional to 2,490.81, 3,436 and 1,900.32 is: 2,621.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.81 : 3,436 = 1,900.32 : x
  2. Step 2: Convert to fraction form
    2,490.81/3,436 = 1,900.32/x
  3. Step 3: Cross multiply
    2,490.81x = 3,436 × 1,900.32
  4. Step 4: Simplify right side
    2,490.81x = 6,529,499.52
  5. Step 5: Solve for x
    x = 6,529,499.52/2,490.81
  6. Step 6: Final answer
    x = 2,621.44

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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.