Home / 1,542.88-2,128.74-983.44

Finding the Fourth Proportional to 1,542.88, 2,128.74 and 983.44

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Solution

The fourth proportional to 1,542.88, 2,128.74 and 983.44 is: 1,356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.88 : 2,128.74 = 983.44 : x
  2. Step 2: Convert to fraction form
    1,542.88/2,128.74 = 983.44/x
  3. Step 3: Cross multiply
    1,542.88x = 2,128.74 × 983.44
  4. Step 4: Simplify right side
    1,542.88x = 2,093,488.07
  5. Step 5: Solve for x
    x = 2,093,488.07/1,542.88
  6. Step 6: Final answer
    x = 1,356.87

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1.5x scale

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.