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Finding the Fourth Proportional to 2,375.66, 3,563.54 and 815.66

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Solution

The fourth proportional to 2,375.66, 3,563.54 and 815.66 is: 1,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.66 : 3,563.54 = 815.66 : x
  2. Step 2: Convert to fraction form
    2,375.66/3,563.54 = 815.66/x
  3. Step 3: Cross multiply
    2,375.66x = 3,563.54 × 815.66
  4. Step 4: Simplify right side
    2,375.66x = 2,906,615.14
  5. Step 5: Solve for x
    x = 2,906,615.14/2,375.66
  6. Step 6: Final answer
    x = 1,223.50

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1.5x scale

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.