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Finding the Fourth Proportional to 2,281.07, 3,418.88 and 893.54

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Solution

The fourth proportional to 2,281.07, 3,418.88 and 893.54 is: 1,339.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.07 : 3,418.88 = 893.54 : x
  2. Step 2: Convert to fraction form
    2,281.07/3,418.88 = 893.54/x
  3. Step 3: Cross multiply
    2,281.07x = 3,418.88 × 893.54
  4. Step 4: Simplify right side
    2,281.07x = 3,054,910.11
  5. Step 5: Solve for x
    x = 3,054,910.11/2,281.07
  6. Step 6: Final answer
    x = 1,339.24

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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.