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Finding the Fourth Proportional to 5,439.54, 8,149.05 and 4,457.82

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Solution

The fourth proportional to 5,439.54, 8,149.05 and 4,457.82 is: 6,678.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,439.54 : 8,149.05 = 4,457.82 : x
  2. Step 2: Convert to fraction form
    5,439.54/8,149.05 = 4,457.82/x
  3. Step 3: Cross multiply
    5,439.54x = 8,149.05 × 4,457.82
  4. Step 4: Simplify right side
    5,439.54x = 36,326,998.07
  5. Step 5: Solve for x
    x = 36,326,998.07/5,439.54
  6. Step 6: Final answer
    x = 6,678.32

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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.