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Finding the Fourth Proportional to 2,490.40, 3,732.40 and 1,910.40

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Solution

The fourth proportional to 2,490.40, 3,732.40 and 1,910.40 is: 2,863.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.40 : 3,732.40 = 1,910.40 : x
  2. Step 2: Convert to fraction form
    2,490.40/3,732.40 = 1,910.40/x
  3. Step 3: Cross multiply
    2,490.40x = 3,732.40 × 1,910.40
  4. Step 4: Simplify right side
    2,490.40x = 7,130,376.96
  5. Step 5: Solve for x
    x = 7,130,376.96/2,490.40
  6. Step 6: Final answer
    x = 2,863.15

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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.