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Finding the Fourth Proportional to 2,782.76, 4,174.69 and 908.77

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Solution

The fourth proportional to 2,782.76, 4,174.69 and 908.77 is: 1,363.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.76 : 4,174.69 = 908.77 : x
  2. Step 2: Convert to fraction form
    2,782.76/4,174.69 = 908.77/x
  3. Step 3: Cross multiply
    2,782.76x = 4,174.69 × 908.77
  4. Step 4: Simplify right side
    2,782.76x = 3,793,829.85
  5. Step 5: Solve for x
    x = 3,793,829.85/2,782.76
  6. Step 6: Final answer
    x = 1,363.34

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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.