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Finding the Fourth Proportional to 5,630.72, 7,769.08 and 3,271.44

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Solution

The fourth proportional to 5,630.72, 7,769.08 and 3,271.44 is: 4,513.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.72 : 7,769.08 = 3,271.44 : x
  2. Step 2: Convert to fraction form
    5,630.72/7,769.08 = 3,271.44/x
  3. Step 3: Cross multiply
    5,630.72x = 7,769.08 × 3,271.44
  4. Step 4: Simplify right side
    5,630.72x = 25,416,079.08
  5. Step 5: Solve for x
    x = 25,416,079.08/5,630.72
  6. Step 6: Final answer
    x = 4,513.82

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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.