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Finding the Fourth Proportional to 5,630.78, 8,435.22 and 3,167.22

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Solution

The fourth proportional to 5,630.78, 8,435.22 and 3,167.22 is: 4,744.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.78 : 8,435.22 = 3,167.22 : x
  2. Step 2: Convert to fraction form
    5,630.78/8,435.22 = 3,167.22/x
  3. Step 3: Cross multiply
    5,630.78x = 8,435.22 × 3,167.22
  4. Step 4: Simplify right side
    5,630.78x = 26,716,197.49
  5. Step 5: Solve for x
    x = 26,716,197.49/5,630.78
  6. Step 6: Final answer
    x = 4,744.67

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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.