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Finding the Fourth Proportional to 1,929.94, 2,894.91 and 775.69

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Solution

The fourth proportional to 1,929.94, 2,894.91 and 775.69 is: 1,163.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.94 : 2,894.91 = 775.69 : x
  2. Step 2: Convert to fraction form
    1,929.94/2,894.91 = 775.69/x
  3. Step 3: Cross multiply
    1,929.94x = 2,894.91 × 775.69
  4. Step 4: Simplify right side
    1,929.94x = 2,245,552.74
  5. Step 5: Solve for x
    x = 2,245,552.74/1,929.94
  6. Step 6: Final answer
    x = 1,163.54

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1.5x scale

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.