Home / 2,106.95-3,161.84-1,456.52

Finding the Fourth Proportional to 2,106.95, 3,161.84 and 1,456.52

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Solution

The fourth proportional to 2,106.95, 3,161.84 and 1,456.52 is: 2,185.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.95 : 3,161.84 = 1,456.52 : x
  2. Step 2: Convert to fraction form
    2,106.95/3,161.84 = 1,456.52/x
  3. Step 3: Cross multiply
    2,106.95x = 3,161.84 × 1,456.52
  4. Step 4: Simplify right side
    2,106.95x = 4,605,260.11
  5. Step 5: Solve for x
    x = 4,605,260.11/2,106.95
  6. Step 6: Final answer
    x = 2,185.75

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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.