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Finding the Fourth Proportional to 3,750.96, 5,627.10 and 1,442.28

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Solution

The fourth proportional to 3,750.96, 5,627.10 and 1,442.28 is: 2,163.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.96 : 5,627.10 = 1,442.28 : x
  2. Step 2: Convert to fraction form
    3,750.96/5,627.10 = 1,442.28/x
  3. Step 3: Cross multiply
    3,750.96x = 5,627.10 × 1,442.28
  4. Step 4: Simplify right side
    3,750.96x = 8,115,853.79
  5. Step 5: Solve for x
    x = 8,115,853.79/3,750.96
  6. Step 6: Final answer
    x = 2,163.67

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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.