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Finding the Fourth Proportional to 1,929.72, 2,895 and 775.56

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Solution

The fourth proportional to 1,929.72, 2,895 and 775.56 is: 1,163.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.72 : 2,895 = 775.56 : x
  2. Step 2: Convert to fraction form
    1,929.72/2,895 = 775.56/x
  3. Step 3: Cross multiply
    1,929.72x = 2,895 × 775.56
  4. Step 4: Simplify right side
    1,929.72x = 2,245,246.20
  5. Step 5: Solve for x
    x = 2,245,246.20/1,929.72
  6. Step 6: Final answer
    x = 1,163.51

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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.