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Finding the Fourth Proportional to 1,967.96, 2,715.79 and 1,083.77

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Solution

The fourth proportional to 1,967.96, 2,715.79 and 1,083.77 is: 1,495.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.96 : 2,715.79 = 1,083.77 : x
  2. Step 2: Convert to fraction form
    1,967.96/2,715.79 = 1,083.77/x
  3. Step 3: Cross multiply
    1,967.96x = 2,715.79 × 1,083.77
  4. Step 4: Simplify right side
    1,967.96x = 2,943,291.73
  5. Step 5: Solve for x
    x = 2,943,291.73/1,967.96
  6. Step 6: Final answer
    x = 1,495.61

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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.