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Finding the Fourth Proportional to 3,075.28, 4,243.86 and 1,678

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Solution

The fourth proportional to 3,075.28, 4,243.86 and 1,678 is: 2,315.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.28 : 4,243.86 = 1,678 : x
  2. Step 2: Convert to fraction form
    3,075.28/4,243.86 = 1,678/x
  3. Step 3: Cross multiply
    3,075.28x = 4,243.86 × 1,678
  4. Step 4: Simplify right side
    3,075.28x = 7,121,197.08
  5. Step 5: Solve for x
    x = 7,121,197.08/3,075.28
  6. Step 6: Final answer
    x = 2,315.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.