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Finding the Fourth Proportional to 1,893.78, 2,835.81 and 1,070.82

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Solution

The fourth proportional to 1,893.78, 2,835.81 and 1,070.82 is: 1,603.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.78 : 2,835.81 = 1,070.82 : x
  2. Step 2: Convert to fraction form
    1,893.78/2,835.81 = 1,070.82/x
  3. Step 3: Cross multiply
    1,893.78x = 2,835.81 × 1,070.82
  4. Step 4: Simplify right side
    1,893.78x = 3,036,642.06
  5. Step 5: Solve for x
    x = 3,036,642.06/1,893.78
  6. Step 6: Final answer
    x = 1,603.48

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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.