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Finding the Fourth Proportional to 2,375.78, 3,562.88 and 815.45

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Solution

The fourth proportional to 2,375.78, 3,562.88 and 815.45 is: 1,222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.78 : 3,562.88 = 815.45 : x
  2. Step 2: Convert to fraction form
    2,375.78/3,562.88 = 815.45/x
  3. Step 3: Cross multiply
    2,375.78x = 3,562.88 × 815.45
  4. Step 4: Simplify right side
    2,375.78x = 2,905,328.60
  5. Step 5: Solve for x
    x = 2,905,328.60/2,375.78
  6. Step 6: Final answer
    x = 1,222.90

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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.