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Finding the Fourth Proportional to 6,474.36, 8,903.40 and 5,411.64

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Solution

The fourth proportional to 6,474.36, 8,903.40 and 5,411.64 is: 7,441.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.36 : 8,903.40 = 5,411.64 : x
  2. Step 2: Convert to fraction form
    6,474.36/8,903.40 = 5,411.64/x
  3. Step 3: Cross multiply
    6,474.36x = 8,903.40 × 5,411.64
  4. Step 4: Simplify right side
    6,474.36x = 48,181,995.58
  5. Step 5: Solve for x
    x = 48,181,995.58/6,474.36
  6. Step 6: Final answer
    x = 7,441.97

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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.