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Finding the Fourth Proportional to 2,112.81, 3,169.62 and 651.71

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Solution

The fourth proportional to 2,112.81, 3,169.62 and 651.71 is: 977.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.81 : 3,169.62 = 651.71 : x
  2. Step 2: Convert to fraction form
    2,112.81/3,169.62 = 651.71/x
  3. Step 3: Cross multiply
    2,112.81x = 3,169.62 × 651.71
  4. Step 4: Simplify right side
    2,112.81x = 2,065,657.20
  5. Step 5: Solve for x
    x = 2,065,657.20/2,112.81
  6. Step 6: Final answer
    x = 977.68

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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.