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Finding the Fourth Proportional to 3,944.40, 5,915.74 and 1,603.80

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Solution

The fourth proportional to 3,944.40, 5,915.74 and 1,603.80 is: 2,405.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.40 : 5,915.74 = 1,603.80 : x
  2. Step 2: Convert to fraction form
    3,944.40/5,915.74 = 1,603.80/x
  3. Step 3: Cross multiply
    3,944.40x = 5,915.74 × 1,603.80
  4. Step 4: Simplify right side
    3,944.40x = 9,487,663.81
  5. Step 5: Solve for x
    x = 9,487,663.81/3,944.40
  6. Step 6: Final answer
    x = 2,405.35

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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.