Home / 2,106.40-3,159.30-645.37

Finding the Fourth Proportional to 2,106.40, 3,159.30 and 645.37

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Solution

The fourth proportional to 2,106.40, 3,159.30 and 645.37 is: 967.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.40 : 3,159.30 = 645.37 : x
  2. Step 2: Convert to fraction form
    2,106.40/3,159.30 = 645.37/x
  3. Step 3: Cross multiply
    2,106.40x = 3,159.30 × 645.37
  4. Step 4: Simplify right side
    2,106.40x = 2,038,917.44
  5. Step 5: Solve for x
    x = 2,038,917.44/2,106.40
  6. Step 6: Final answer
    x = 967.96

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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.