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Finding the Fourth Proportional to 2,490, 3,434.91 and 2,018.43

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Solution

The fourth proportional to 2,490, 3,434.91 and 2,018.43 is: 2,784.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490 : 3,434.91 = 2,018.43 : x
  2. Step 2: Convert to fraction form
    2,490/3,434.91 = 2,018.43/x
  3. Step 3: Cross multiply
    2,490x = 3,434.91 × 2,018.43
  4. Step 4: Simplify right side
    2,490x = 6,933,115.30
  5. Step 5: Solve for x
    x = 6,933,115.30/2,490
  6. Step 6: Final answer
    x = 2,784.38

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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.