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Finding the Fourth Proportional to 3,782.90, 5,648.84 and 3,090.92

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Solution

The fourth proportional to 3,782.90, 5,648.84 and 3,090.92 is: 4,615.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.90 : 5,648.84 = 3,090.92 : x
  2. Step 2: Convert to fraction form
    3,782.90/5,648.84 = 3,090.92/x
  3. Step 3: Cross multiply
    3,782.90x = 5,648.84 × 3,090.92
  4. Step 4: Simplify right side
    3,782.90x = 17,460,112.53
  5. Step 5: Solve for x
    x = 17,460,112.53/3,782.90
  6. Step 6: Final answer
    x = 4,615.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.