Home / 1,380.78-2,073.24-835.38

Finding the Fourth Proportional to 1,380.78, 2,073.24 and 835.38

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Solution

The fourth proportional to 1,380.78, 2,073.24 and 835.38 is: 1,254.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.78 : 2,073.24 = 835.38 : x
  2. Step 2: Convert to fraction form
    1,380.78/2,073.24 = 835.38/x
  3. Step 3: Cross multiply
    1,380.78x = 2,073.24 × 835.38
  4. Step 4: Simplify right side
    1,380.78x = 1,731,943.23
  5. Step 5: Solve for x
    x = 1,731,943.23/1,380.78
  6. Step 6: Final answer
    x = 1,254.32

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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.