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Finding the Fourth Proportional to 3,309.81, 4,964.72 and 1,001.31

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Solution

The fourth proportional to 3,309.81, 4,964.72 and 1,001.31 is: 1,501.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.81 : 4,964.72 = 1,001.31 : x
  2. Step 2: Convert to fraction form
    3,309.81/4,964.72 = 1,001.31/x
  3. Step 3: Cross multiply
    3,309.81x = 4,964.72 × 1,001.31
  4. Step 4: Simplify right side
    3,309.81x = 4,971,223.78
  5. Step 5: Solve for x
    x = 4,971,223.78/3,309.81
  6. Step 6: Final answer
    x = 1,501.97

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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.