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Finding the Fourth Proportional to 3,161.92, 4,743.60 and 970.72

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Solution

The fourth proportional to 3,161.92, 4,743.60 and 970.72 is: 1,456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.92 : 4,743.60 = 970.72 : x
  2. Step 2: Convert to fraction form
    3,161.92/4,743.60 = 970.72/x
  3. Step 3: Cross multiply
    3,161.92x = 4,743.60 × 970.72
  4. Step 4: Simplify right side
    3,161.92x = 4,604,707.39
  5. Step 5: Solve for x
    x = 4,604,707.39/3,161.92
  6. Step 6: Final answer
    x = 1,456.30

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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.