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Finding the Fourth Proportional to 3,259.93, 4,890.21 and 1,311.88

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Solution

The fourth proportional to 3,259.93, 4,890.21 and 1,311.88 is: 1,967.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.93 : 4,890.21 = 1,311.88 : x
  2. Step 2: Convert to fraction form
    3,259.93/4,890.21 = 1,311.88/x
  3. Step 3: Cross multiply
    3,259.93x = 4,890.21 × 1,311.88
  4. Step 4: Simplify right side
    3,259.93x = 6,415,368.69
  5. Step 5: Solve for x
    x = 6,415,368.69/3,259.93
  6. Step 6: Final answer
    x = 1,967.95

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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.