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Finding the Fourth Proportional to 3,164.16, 4,743.99 and 971.72

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Solution

The fourth proportional to 3,164.16, 4,743.99 and 971.72 is: 1,456.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.16 : 4,743.99 = 971.72 : x
  2. Step 2: Convert to fraction form
    3,164.16/4,743.99 = 971.72/x
  3. Step 3: Cross multiply
    3,164.16x = 4,743.99 × 971.72
  4. Step 4: Simplify right side
    3,164.16x = 4,609,806.24
  5. Step 5: Solve for x
    x = 4,609,806.24/3,164.16
  6. Step 6: Final answer
    x = 1,456.88

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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.