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Finding the Fourth Proportional to 3,072.26, 4,607.78 and 880.40

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Solution

The fourth proportional to 3,072.26, 4,607.78 and 880.40 is: 1,320.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.26 : 4,607.78 = 880.40 : x
  2. Step 2: Convert to fraction form
    3,072.26/4,607.78 = 880.40/x
  3. Step 3: Cross multiply
    3,072.26x = 4,607.78 × 880.40
  4. Step 4: Simplify right side
    3,072.26x = 4,056,696.63
  5. Step 5: Solve for x
    x = 4,056,696.63/3,072.26
  6. Step 6: Final answer
    x = 1,320.43

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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.