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Finding the Fourth Proportional to 3,300.99, 4,947 and 1,218.98

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Solution

The fourth proportional to 3,300.99, 4,947 and 1,218.98 is: 1,826.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,300.99 : 4,947 = 1,218.98 : x
  2. Step 2: Convert to fraction form
    3,300.99/4,947 = 1,218.98/x
  3. Step 3: Cross multiply
    3,300.99x = 4,947 × 1,218.98
  4. Step 4: Simplify right side
    3,300.99x = 6,030,269.33
  5. Step 5: Solve for x
    x = 6,030,269.33/3,300.99
  6. Step 6: Final answer
    x = 1,826.81

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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.