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Finding the Fourth Proportional to 5,379.94, 8,070.42 and 1,869.40

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Solution

The fourth proportional to 5,379.94, 8,070.42 and 1,869.40 is: 2,804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,379.94 : 8,070.42 = 1,869.40 : x
  2. Step 2: Convert to fraction form
    5,379.94/8,070.42 = 1,869.40/x
  3. Step 3: Cross multiply
    5,379.94x = 8,070.42 × 1,869.40
  4. Step 4: Simplify right side
    5,379.94x = 15,086,843.15
  5. Step 5: Solve for x
    x = 15,086,843.15/5,379.94
  6. Step 6: Final answer
    x = 2,804.28

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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.