Home / 2,075.56-3,113.91-905.66

Finding the Fourth Proportional to 2,075.56, 3,113.91 and 905.66

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Solution

The fourth proportional to 2,075.56, 3,113.91 and 905.66 is: 1,358.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.56 : 3,113.91 = 905.66 : x
  2. Step 2: Convert to fraction form
    2,075.56/3,113.91 = 905.66/x
  3. Step 3: Cross multiply
    2,075.56x = 3,113.91 × 905.66
  4. Step 4: Simplify right side
    2,075.56x = 2,820,143.73
  5. Step 5: Solve for x
    x = 2,820,143.73/2,075.56
  6. Step 6: Final answer
    x = 1,358.74

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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.