Home / 1,948.96-2,689.76-1,163.44

Finding the Fourth Proportional to 1,948.96, 2,689.76 and 1,163.44

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Solution

The fourth proportional to 1,948.96, 2,689.76 and 1,163.44 is: 1,605.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.96 : 2,689.76 = 1,163.44 : x
  2. Step 2: Convert to fraction form
    1,948.96/2,689.76 = 1,163.44/x
  3. Step 3: Cross multiply
    1,948.96x = 2,689.76 × 1,163.44
  4. Step 4: Simplify right side
    1,948.96x = 3,129,374.37
  5. Step 5: Solve for x
    x = 3,129,374.37/1,948.96
  6. Step 6: Final answer
    x = 1,605.66

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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.