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Finding the Fourth Proportional to 5,405, 8,101.74 and 2,804.36

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Solution

The fourth proportional to 5,405, 8,101.74 and 2,804.36 is: 4,203.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405 : 8,101.74 = 2,804.36 : x
  2. Step 2: Convert to fraction form
    5,405/8,101.74 = 2,804.36/x
  3. Step 3: Cross multiply
    5,405x = 8,101.74 × 2,804.36
  4. Step 4: Simplify right side
    5,405x = 22,720,195.59
  5. Step 5: Solve for x
    x = 22,720,195.59/5,405
  6. Step 6: Final answer
    x = 4,203.55

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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.