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Finding the Fourth Proportional to 2,782.83, 4,173.75 and 834.63

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Solution

The fourth proportional to 2,782.83, 4,173.75 and 834.63 is: 1,251.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.83 : 4,173.75 = 834.63 : x
  2. Step 2: Convert to fraction form
    2,782.83/4,173.75 = 834.63/x
  3. Step 3: Cross multiply
    2,782.83x = 4,173.75 × 834.63
  4. Step 4: Simplify right side
    2,782.83x = 3,483,536.96
  5. Step 5: Solve for x
    x = 3,483,536.96/2,782.83
  6. Step 6: Final answer
    x = 1,251.80

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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.