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Finding the Fourth Proportional to 5,208.84, 7,188 and 3,112.56

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Solution

The fourth proportional to 5,208.84, 7,188 and 3,112.56 is: 4,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.84 : 7,188 = 3,112.56 : x
  2. Step 2: Convert to fraction form
    5,208.84/7,188 = 3,112.56/x
  3. Step 3: Cross multiply
    5,208.84x = 7,188 × 3,112.56
  4. Step 4: Simplify right side
    5,208.84x = 22,373,081.28
  5. Step 5: Solve for x
    x = 22,373,081.28/5,208.84
  6. Step 6: Final answer
    x = 4,295.21

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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.