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Finding the Fourth Proportional to 3,671.55, 5,505 and 1,562.15

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Solution

The fourth proportional to 3,671.55, 5,505 and 1,562.15 is: 2,342.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.55 : 5,505 = 1,562.15 : x
  2. Step 2: Convert to fraction form
    3,671.55/5,505 = 1,562.15/x
  3. Step 3: Cross multiply
    3,671.55x = 5,505 × 1,562.15
  4. Step 4: Simplify right side
    3,671.55x = 8,599,608.23
  5. Step 5: Solve for x
    x = 8,599,608.23/3,671.55
  6. Step 6: Final answer
    x = 2,342.23

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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.