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Finding the Fourth Proportional to 5,630.80, 7,771 and 3,272.90

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Solution

The fourth proportional to 5,630.80, 7,771 and 3,272.90 is: 4,516.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.80 : 7,771 = 3,272.90 : x
  2. Step 2: Convert to fraction form
    5,630.80/7,771 = 3,272.90/x
  3. Step 3: Cross multiply
    5,630.80x = 7,771 × 3,272.90
  4. Step 4: Simplify right side
    5,630.80x = 25,433,705.90
  5. Step 5: Solve for x
    x = 25,433,705.90/5,630.80
  6. Step 6: Final answer
    x = 4,516.89

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1.5x scale

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.