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Finding the Fourth Proportional to 2,106.90, 3,160.32 and 567.90

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Solution

The fourth proportional to 2,106.90, 3,160.32 and 567.90 is: 851.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.90 : 3,160.32 = 567.90 : x
  2. Step 2: Convert to fraction form
    2,106.90/3,160.32 = 567.90/x
  3. Step 3: Cross multiply
    2,106.90x = 3,160.32 × 567.90
  4. Step 4: Simplify right side
    2,106.90x = 1,794,745.73
  5. Step 5: Solve for x
    x = 1,794,745.73/2,106.90
  6. Step 6: Final answer
    x = 851.84

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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.