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Finding the Fourth Proportional to 2,845.75, 4,269.25 and 871.40

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Solution

The fourth proportional to 2,845.75, 4,269.25 and 871.40 is: 1,307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,845.75 : 4,269.25 = 871.40 : x
  2. Step 2: Convert to fraction form
    2,845.75/4,269.25 = 871.40/x
  3. Step 3: Cross multiply
    2,845.75x = 4,269.25 × 871.40
  4. Step 4: Simplify right side
    2,845.75x = 3,720,206.37
  5. Step 5: Solve for x
    x = 3,720,206.37/2,845.75
  6. Step 6: Final answer
    x = 1,307.28

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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.