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Finding the Fourth Proportional to 2,841.64, 4,259.71 and 893.38

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Solution

The fourth proportional to 2,841.64, 4,259.71 and 893.38 is: 1,339.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.64 : 4,259.71 = 893.38 : x
  2. Step 2: Convert to fraction form
    2,841.64/4,259.71 = 893.38/x
  3. Step 3: Cross multiply
    2,841.64x = 4,259.71 × 893.38
  4. Step 4: Simplify right side
    2,841.64x = 3,805,539.72
  5. Step 5: Solve for x
    x = 3,805,539.72/2,841.64
  6. Step 6: Final answer
    x = 1,339.21

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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.