Home / 1,541.36-2,296.54-1,442

Finding the Fourth Proportional to 1,541.36, 2,296.54 and 1,442

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Solution

The fourth proportional to 1,541.36, 2,296.54 and 1,442 is: 2,148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.36 : 2,296.54 = 1,442 : x
  2. Step 2: Convert to fraction form
    1,541.36/2,296.54 = 1,442/x
  3. Step 3: Cross multiply
    1,541.36x = 2,296.54 × 1,442
  4. Step 4: Simplify right side
    1,541.36x = 3,311,610.68
  5. Step 5: Solve for x
    x = 3,311,610.68/1,541.36
  6. Step 6: Final answer
    x = 2,148.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.