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Finding the Fourth Proportional to 2,525.96, 3,789.26 and 986.76

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Solution

The fourth proportional to 2,525.96, 3,789.26 and 986.76 is: 1,480.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.96 : 3,789.26 = 986.76 : x
  2. Step 2: Convert to fraction form
    2,525.96/3,789.26 = 986.76/x
  3. Step 3: Cross multiply
    2,525.96x = 3,789.26 × 986.76
  4. Step 4: Simplify right side
    2,525.96x = 3,739,090.20
  5. Step 5: Solve for x
    x = 3,739,090.20/2,525.96
  6. Step 6: Final answer
    x = 1,480.27

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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.