Home / 1,926.08-2,888.94-1,101.78

Finding the Fourth Proportional to 1,926.08, 2,888.94 and 1,101.78

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Solution

The fourth proportional to 1,926.08, 2,888.94 and 1,101.78 is: 1,652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.08 : 2,888.94 = 1,101.78 : x
  2. Step 2: Convert to fraction form
    1,926.08/2,888.94 = 1,101.78/x
  3. Step 3: Cross multiply
    1,926.08x = 2,888.94 × 1,101.78
  4. Step 4: Simplify right side
    1,926.08x = 3,182,976.31
  5. Step 5: Solve for x
    x = 3,182,976.31/1,926.08
  6. Step 6: Final answer
    x = 1,652.57

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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.