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Finding the Fourth Proportional to 5,672.89, 7,827.36 and 3,313.96

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Solution

The fourth proportional to 5,672.89, 7,827.36 and 3,313.96 is: 4,572.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.89 : 7,827.36 = 3,313.96 : x
  2. Step 2: Convert to fraction form
    5,672.89/7,827.36 = 3,313.96/x
  3. Step 3: Cross multiply
    5,672.89x = 7,827.36 × 3,313.96
  4. Step 4: Simplify right side
    5,672.89x = 25,939,557.95
  5. Step 5: Solve for x
    x = 25,939,557.95/5,672.89
  6. Step 6: Final answer
    x = 4,572.55

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Why These Related Problems?

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