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Finding the Fourth Proportional to 3,804.80, 5,703.60 and 2,971.40

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Solution

The fourth proportional to 3,804.80, 5,703.60 and 2,971.40 is: 4,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.80 : 5,703.60 = 2,971.40 : x
  2. Step 2: Convert to fraction form
    3,804.80/5,703.60 = 2,971.40/x
  3. Step 3: Cross multiply
    3,804.80x = 5,703.60 × 2,971.40
  4. Step 4: Simplify right side
    3,804.80x = 16,947,677.04
  5. Step 5: Solve for x
    x = 16,947,677.04/3,804.80
  6. Step 6: Final answer
    x = 4,454.29

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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.