Home / 2,110.56-3,166.25-705.07

Finding the Fourth Proportional to 2,110.56, 3,166.25 and 705.07

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Solution

The fourth proportional to 2,110.56, 3,166.25 and 705.07 is: 1,057.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.56 : 3,166.25 = 705.07 : x
  2. Step 2: Convert to fraction form
    2,110.56/3,166.25 = 705.07/x
  3. Step 3: Cross multiply
    2,110.56x = 3,166.25 × 705.07
  4. Step 4: Simplify right side
    2,110.56x = 2,232,427.89
  5. Step 5: Solve for x
    x = 2,232,427.89/2,110.56
  6. Step 6: Final answer
    x = 1,057.74

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1.5x scale

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.