Home / 2,110.77-3,166.16-1,406.49

Finding the Fourth Proportional to 2,110.77, 3,166.16 and 1,406.49

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Solution

The fourth proportional to 2,110.77, 3,166.16 and 1,406.49 is: 2,109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.77 : 3,166.16 = 1,406.49 : x
  2. Step 2: Convert to fraction form
    2,110.77/3,166.16 = 1,406.49/x
  3. Step 3: Cross multiply
    2,110.77x = 3,166.16 × 1,406.49
  4. Step 4: Simplify right side
    2,110.77x = 4,453,165.35
  5. Step 5: Solve for x
    x = 4,453,165.35/2,110.77
  6. Step 6: Final answer
    x = 2,109.74

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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.