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Finding the Fourth Proportional to 3,328.50, 4,992.99 and 1,276.50

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Solution

The fourth proportional to 3,328.50, 4,992.99 and 1,276.50 is: 1,914.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,328.50 : 4,992.99 = 1,276.50 : x
  2. Step 2: Convert to fraction form
    3,328.50/4,992.99 = 1,276.50/x
  3. Step 3: Cross multiply
    3,328.50x = 4,992.99 × 1,276.50
  4. Step 4: Simplify right side
    3,328.50x = 6,373,551.74
  5. Step 5: Solve for x
    x = 6,373,551.74/3,328.50
  6. Step 6: Final answer
    x = 1,914.84

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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.