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Finding the Fourth Proportional to 7,102.14, 9,801.15 and 3,958.38

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Solution

The fourth proportional to 7,102.14, 9,801.15 and 3,958.38 is: 5,462.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.14 : 9,801.15 = 3,958.38 : x
  2. Step 2: Convert to fraction form
    7,102.14/9,801.15 = 3,958.38/x
  3. Step 3: Cross multiply
    7,102.14x = 9,801.15 × 3,958.38
  4. Step 4: Simplify right side
    7,102.14x = 38,796,676.14
  5. Step 5: Solve for x
    x = 38,796,676.14/7,102.14
  6. Step 6: Final answer
    x = 5,462.67

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1.5x scale

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.