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Finding the Fourth Proportional to 3,224.88, 4,836.24 and 1,277.76

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Solution

The fourth proportional to 3,224.88, 4,836.24 and 1,277.76 is: 1,916.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.88 : 4,836.24 = 1,277.76 : x
  2. Step 2: Convert to fraction form
    3,224.88/4,836.24 = 1,277.76/x
  3. Step 3: Cross multiply
    3,224.88x = 4,836.24 × 1,277.76
  4. Step 4: Simplify right side
    3,224.88x = 6,179,554.02
  5. Step 5: Solve for x
    x = 6,179,554.02/3,224.88
  6. Step 6: Final answer
    x = 1,916.21

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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.