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Finding the Fourth Proportional to 5,904.36, 8,148.42 and 3,420.36

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Solution

The fourth proportional to 5,904.36, 8,148.42 and 3,420.36 is: 4,720.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,904.36 : 8,148.42 = 3,420.36 : x
  2. Step 2: Convert to fraction form
    5,904.36/8,148.42 = 3,420.36/x
  3. Step 3: Cross multiply
    5,904.36x = 8,148.42 × 3,420.36
  4. Step 4: Simplify right side
    5,904.36x = 27,870,529.83
  5. Step 5: Solve for x
    x = 27,870,529.83/5,904.36
  6. Step 6: Final answer
    x = 4,720.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.