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Finding the Fourth Proportional to 3,300.95, 4,947.92 and 1,544.47

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Solution

The fourth proportional to 3,300.95, 4,947.92 and 1,544.47 is: 2,315.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,300.95 : 4,947.92 = 1,544.47 : x
  2. Step 2: Convert to fraction form
    3,300.95/4,947.92 = 1,544.47/x
  3. Step 3: Cross multiply
    3,300.95x = 4,947.92 × 1,544.47
  4. Step 4: Simplify right side
    3,300.95x = 7,641,893.91
  5. Step 5: Solve for x
    x = 7,641,893.91/3,300.95
  6. Step 6: Final answer
    x = 2,315.06

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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.