Home / 2,075.66-3,112.74-905.60

Finding the Fourth Proportional to 2,075.66, 3,112.74 and 905.60

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Solution

The fourth proportional to 2,075.66, 3,112.74 and 905.60 is: 1,358.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.66 : 3,112.74 = 905.60 : x
  2. Step 2: Convert to fraction form
    2,075.66/3,112.74 = 905.60/x
  3. Step 3: Cross multiply
    2,075.66x = 3,112.74 × 905.60
  4. Step 4: Simplify right side
    2,075.66x = 2,818,897.34
  5. Step 5: Solve for x
    x = 2,818,897.34/2,075.66
  6. Step 6: Final answer
    x = 1,358.07

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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.