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Finding the Fourth Proportional to 6,893.61, 9,513.10 and 3,749.79

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Solution

The fourth proportional to 6,893.61, 9,513.10 and 3,749.79 is: 5,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.61 : 9,513.10 = 3,749.79 : x
  2. Step 2: Convert to fraction form
    6,893.61/9,513.10 = 3,749.79/x
  3. Step 3: Cross multiply
    6,893.61x = 9,513.10 × 3,749.79
  4. Step 4: Simplify right side
    6,893.61x = 35,672,127.25
  5. Step 5: Solve for x
    x = 35,672,127.25/6,893.61
  6. Step 6: Final answer
    x = 5,174.67

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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.