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Finding the Fourth Proportional to 2,112.71, 3,169.06 and 651.51

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Solution

The fourth proportional to 2,112.71, 3,169.06 and 651.51 is: 977.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.71 : 3,169.06 = 651.51 : x
  2. Step 2: Convert to fraction form
    2,112.71/3,169.06 = 651.51/x
  3. Step 3: Cross multiply
    2,112.71x = 3,169.06 × 651.51
  4. Step 4: Simplify right side
    2,112.71x = 2,064,672.65
  5. Step 5: Solve for x
    x = 2,064,672.65/2,112.71
  6. Step 6: Final answer
    x = 977.27

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1.5x scale

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.