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Finding the Fourth Proportional to 3,072.80, 4,608.90 and 881.48

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Solution

The fourth proportional to 3,072.80, 4,608.90 and 881.48 is: 1,322.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.80 : 4,608.90 = 881.48 : x
  2. Step 2: Convert to fraction form
    3,072.80/4,608.90 = 881.48/x
  3. Step 3: Cross multiply
    3,072.80x = 4,608.90 × 881.48
  4. Step 4: Simplify right side
    3,072.80x = 4,062,653.17
  5. Step 5: Solve for x
    x = 4,062,653.17/3,072.80
  6. Step 6: Final answer
    x = 1,322.13

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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.