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Finding the Fourth Proportional to 2,417.85, 3,627 and 857.70

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Solution

The fourth proportional to 2,417.85, 3,627 and 857.70 is: 1,286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.85 : 3,627 = 857.70 : x
  2. Step 2: Convert to fraction form
    2,417.85/3,627 = 857.70/x
  3. Step 3: Cross multiply
    2,417.85x = 3,627 × 857.70
  4. Step 4: Simplify right side
    2,417.85x = 3,110,877.90
  5. Step 5: Solve for x
    x = 3,110,877.90/2,417.85
  6. Step 6: Final answer
    x = 1,286.63

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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.