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Finding the Fourth Proportional to 3,161.58, 4,743.36 and 970.62

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Solution

The fourth proportional to 3,161.58, 4,743.36 and 970.62 is: 1,456.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.58 : 4,743.36 = 970.62 : x
  2. Step 2: Convert to fraction form
    3,161.58/4,743.36 = 970.62/x
  3. Step 3: Cross multiply
    3,161.58x = 4,743.36 × 970.62
  4. Step 4: Simplify right side
    3,161.58x = 4,604,000.08
  5. Step 5: Solve for x
    x = 4,604,000.08/3,161.58
  6. Step 6: Final answer
    x = 1,456.23

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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.