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Finding the Fourth Proportional to 2,480.40, 3,717.40 and 1,900.40

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Solution

The fourth proportional to 2,480.40, 3,717.40 and 1,900.40 is: 2,848.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.40 : 3,717.40 = 1,900.40 : x
  2. Step 2: Convert to fraction form
    2,480.40/3,717.40 = 1,900.40/x
  3. Step 3: Cross multiply
    2,480.40x = 3,717.40 × 1,900.40
  4. Step 4: Simplify right side
    2,480.40x = 7,064,546.96
  5. Step 5: Solve for x
    x = 7,064,546.96/2,480.40
  6. Step 6: Final answer
    x = 2,848.15

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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.