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Finding the Fourth Proportional to 2,106.82, 3,159.24 and 645.58

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Solution

The fourth proportional to 2,106.82, 3,159.24 and 645.58 is: 968.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.82 : 3,159.24 = 645.58 : x
  2. Step 2: Convert to fraction form
    2,106.82/3,159.24 = 645.58/x
  3. Step 3: Cross multiply
    2,106.82x = 3,159.24 × 645.58
  4. Step 4: Simplify right side
    2,106.82x = 2,039,542.16
  5. Step 5: Solve for x
    x = 2,039,542.16/2,106.82
  6. Step 6: Final answer
    x = 968.07

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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.