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Finding the Fourth Proportional to 5,705.36, 7,873.98 and 3,608

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Solution

The fourth proportional to 5,705.36, 7,873.98 and 3,608 is: 4,979.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.36 : 7,873.98 = 3,608 : x
  2. Step 2: Convert to fraction form
    5,705.36/7,873.98 = 3,608/x
  3. Step 3: Cross multiply
    5,705.36x = 7,873.98 × 3,608
  4. Step 4: Simplify right side
    5,705.36x = 28,409,319.84
  5. Step 5: Solve for x
    x = 28,409,319.84/5,705.36
  6. Step 6: Final answer
    x = 4,979.41

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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.