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Finding the Fourth Proportional to 2,564.88, 3,847.31 and 617.08

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Solution

The fourth proportional to 2,564.88, 3,847.31 and 617.08 is: 925.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.88 : 3,847.31 = 617.08 : x
  2. Step 2: Convert to fraction form
    2,564.88/3,847.31 = 617.08/x
  3. Step 3: Cross multiply
    2,564.88x = 3,847.31 × 617.08
  4. Step 4: Simplify right side
    2,564.88x = 2,374,098.35
  5. Step 5: Solve for x
    x = 2,374,098.35/2,564.88
  6. Step 6: Final answer
    x = 925.62

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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.