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Finding the Fourth Proportional to 3,567.60, 5,337 and 2,790

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Solution

The fourth proportional to 3,567.60, 5,337 and 2,790 is: 4,173.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.60 : 5,337 = 2,790 : x
  2. Step 2: Convert to fraction form
    3,567.60/5,337 = 2,790/x
  3. Step 3: Cross multiply
    3,567.60x = 5,337 × 2,790
  4. Step 4: Simplify right side
    3,567.60x = 14,890,230
  5. Step 5: Solve for x
    x = 14,890,230/3,567.60
  6. Step 6: Final answer
    x = 4,173.74

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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.