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Finding the Fourth Proportional to 3,986.83, 5,977.84 and 1,521.83

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Solution

The fourth proportional to 3,986.83, 5,977.84 and 1,521.83 is: 2,281.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.83 : 5,977.84 = 1,521.83 : x
  2. Step 2: Convert to fraction form
    3,986.83/5,977.84 = 1,521.83/x
  3. Step 3: Cross multiply
    3,986.83x = 5,977.84 × 1,521.83
  4. Step 4: Simplify right side
    3,986.83x = 9,097,256.25
  5. Step 5: Solve for x
    x = 9,097,256.25/3,986.83
  6. Step 6: Final answer
    x = 2,281.83

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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.