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Finding the Fourth Proportional to 3,970.63, 5,958.68 and 1,781.81

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Solution

The fourth proportional to 3,970.63, 5,958.68 and 1,781.81 is: 2,673.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.63 : 5,958.68 = 1,781.81 : x
  2. Step 2: Convert to fraction form
    3,970.63/5,958.68 = 1,781.81/x
  3. Step 3: Cross multiply
    3,970.63x = 5,958.68 × 1,781.81
  4. Step 4: Simplify right side
    3,970.63x = 10,617,196.91
  5. Step 5: Solve for x
    x = 10,617,196.91/3,970.63
  6. Step 6: Final answer
    x = 2,673.93

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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.