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Finding the Fourth Proportional to 1,523.63, 2,102.61 and 825

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Solution

The fourth proportional to 1,523.63, 2,102.61 and 825 is: 1,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.63 : 2,102.61 = 825 : x
  2. Step 2: Convert to fraction form
    1,523.63/2,102.61 = 825/x
  3. Step 3: Cross multiply
    1,523.63x = 2,102.61 × 825
  4. Step 4: Simplify right side
    1,523.63x = 1,734,653.25
  5. Step 5: Solve for x
    x = 1,734,653.25/1,523.63
  6. Step 6: Final answer
    x = 1,138.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.