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Finding the Fourth Proportional to 3,563.60, 5,331 and 2,786

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Solution

The fourth proportional to 3,563.60, 5,331 and 2,786 is: 4,167.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.60 : 5,331 = 2,786 : x
  2. Step 2: Convert to fraction form
    3,563.60/5,331 = 2,786/x
  3. Step 3: Cross multiply
    3,563.60x = 5,331 × 2,786
  4. Step 4: Simplify right side
    3,563.60x = 14,852,166
  5. Step 5: Solve for x
    x = 14,852,166/3,563.60
  6. Step 6: Final answer
    x = 4,167.74

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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.