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Finding the Fourth Proportional to 1,804.41, 2,702.43 and 1,316.25

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Solution

The fourth proportional to 1,804.41, 2,702.43 and 1,316.25 is: 1,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.41 : 2,702.43 = 1,316.25 : x
  2. Step 2: Convert to fraction form
    1,804.41/2,702.43 = 1,316.25/x
  3. Step 3: Cross multiply
    1,804.41x = 2,702.43 × 1,316.25
  4. Step 4: Simplify right side
    1,804.41x = 3,557,073.49
  5. Step 5: Solve for x
    x = 3,557,073.49/1,804.41
  6. Step 6: Final answer
    x = 1,971.32

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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.