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Finding the Fourth Proportional to 1,867.21, 2,801.99 and 893.32

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Solution

The fourth proportional to 1,867.21, 2,801.99 and 893.32 is: 1,340.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.21 : 2,801.99 = 893.32 : x
  2. Step 2: Convert to fraction form
    1,867.21/2,801.99 = 893.32/x
  3. Step 3: Cross multiply
    1,867.21x = 2,801.99 × 893.32
  4. Step 4: Simplify right side
    1,867.21x = 2,503,073.71
  5. Step 5: Solve for x
    x = 2,503,073.71/1,867.21
  6. Step 6: Final answer
    x = 1,340.54

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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.