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Finding the Fourth Proportional to 3,606.40, 5,404.20 and 3,055.60

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Solution

The fourth proportional to 3,606.40, 5,404.20 and 3,055.60 is: 4,578.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.40 : 5,404.20 = 3,055.60 : x
  2. Step 2: Convert to fraction form
    3,606.40/5,404.20 = 3,055.60/x
  3. Step 3: Cross multiply
    3,606.40x = 5,404.20 × 3,055.60
  4. Step 4: Simplify right side
    3,606.40x = 16,513,073.52
  5. Step 5: Solve for x
    x = 16,513,073.52/3,606.40
  6. Step 6: Final answer
    x = 4,578.82

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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.