Home / 2,106.54-3,158.19-1,284.39

Finding the Fourth Proportional to 2,106.54, 3,158.19 and 1,284.39

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Solution

The fourth proportional to 2,106.54, 3,158.19 and 1,284.39 is: 1,925.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.54 : 3,158.19 = 1,284.39 : x
  2. Step 2: Convert to fraction form
    2,106.54/3,158.19 = 1,284.39/x
  3. Step 3: Cross multiply
    2,106.54x = 3,158.19 × 1,284.39
  4. Step 4: Simplify right side
    2,106.54x = 4,056,347.65
  5. Step 5: Solve for x
    x = 4,056,347.65/2,106.54
  6. Step 6: Final answer
    x = 1,925.60

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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.