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Finding the Fourth Proportional to 2,403.56, 3,603.88 and 940.96

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Solution

The fourth proportional to 2,403.56, 3,603.88 and 940.96 is: 1,410.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.56 : 3,603.88 = 940.96 : x
  2. Step 2: Convert to fraction form
    2,403.56/3,603.88 = 940.96/x
  3. Step 3: Cross multiply
    2,403.56x = 3,603.88 × 940.96
  4. Step 4: Simplify right side
    2,403.56x = 3,391,106.92
  5. Step 5: Solve for x
    x = 3,391,106.92/2,403.56
  6. Step 6: Final answer
    x = 1,410.87

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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.