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Finding the Fourth Proportional to 5,643.63, 8,470.94 and 3,456.63

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Solution

The fourth proportional to 5,643.63, 8,470.94 and 3,456.63 is: 5,188.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.63 : 8,470.94 = 3,456.63 : x
  2. Step 2: Convert to fraction form
    5,643.63/8,470.94 = 3,456.63/x
  3. Step 3: Cross multiply
    5,643.63x = 8,470.94 × 3,456.63
  4. Step 4: Simplify right side
    5,643.63x = 29,280,888.05
  5. Step 5: Solve for x
    x = 29,280,888.05/5,643.63
  6. Step 6: Final answer
    x = 5,188.31

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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.