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Finding the Fourth Proportional to 3,161.72, 4,743.18 and 970.07

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Solution

The fourth proportional to 3,161.72, 4,743.18 and 970.07 is: 1,455.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.72 : 4,743.18 = 970.07 : x
  2. Step 2: Convert to fraction form
    3,161.72/4,743.18 = 970.07/x
  3. Step 3: Cross multiply
    3,161.72x = 4,743.18 × 970.07
  4. Step 4: Simplify right side
    3,161.72x = 4,601,192.91
  5. Step 5: Solve for x
    x = 4,601,192.91/3,161.72
  6. Step 6: Final answer
    x = 1,455.28

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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.