Home / 2,106.23-3,159.36-645.39

Finding the Fourth Proportional to 2,106.23, 3,159.36 and 645.39

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Solution

The fourth proportional to 2,106.23, 3,159.36 and 645.39 is: 968.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.23 : 3,159.36 = 645.39 : x
  2. Step 2: Convert to fraction form
    2,106.23/3,159.36 = 645.39/x
  3. Step 3: Cross multiply
    2,106.23x = 3,159.36 × 645.39
  4. Step 4: Simplify right side
    2,106.23x = 2,039,019.35
  5. Step 5: Solve for x
    x = 2,039,019.35/2,106.23
  6. Step 6: Final answer
    x = 968.09

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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.