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Finding the Fourth Proportional to 3,937.76, 5,889 and 3,501.72

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Solution

The fourth proportional to 3,937.76, 5,889 and 3,501.72 is: 5,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.76 : 5,889 = 3,501.72 : x
  2. Step 2: Convert to fraction form
    3,937.76/5,889 = 3,501.72/x
  3. Step 3: Cross multiply
    3,937.76x = 5,889 × 3,501.72
  4. Step 4: Simplify right side
    3,937.76x = 20,621,629.08
  5. Step 5: Solve for x
    x = 20,621,629.08/3,937.76
  6. Step 6: Final answer
    x = 5,236.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.