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Finding the Fourth Proportional to 2,605.40, 3,910.84 and 1,567.94

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Solution

The fourth proportional to 2,605.40, 3,910.84 and 1,567.94 is: 2,353.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.40 : 3,910.84 = 1,567.94 : x
  2. Step 2: Convert to fraction form
    2,605.40/3,910.84 = 1,567.94/x
  3. Step 3: Cross multiply
    2,605.40x = 3,910.84 × 1,567.94
  4. Step 4: Simplify right side
    2,605.40x = 6,131,962.47
  5. Step 5: Solve for x
    x = 6,131,962.47/2,605.40
  6. Step 6: Final answer
    x = 2,353.56

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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.