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Finding the Fourth Proportional to 7,958.40, 11,907.58 and 7,150

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Solution

The fourth proportional to 7,958.40, 11,907.58 and 7,150 is: 10,698.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958.40 : 11,907.58 = 7,150 : x
  2. Step 2: Convert to fraction form
    7,958.40/11,907.58 = 7,150/x
  3. Step 3: Cross multiply
    7,958.40x = 11,907.58 × 7,150
  4. Step 4: Simplify right side
    7,958.40x = 85,139,197
  5. Step 5: Solve for x
    x = 85,139,197/7,958.40
  6. Step 6: Final answer
    x = 10,698.03

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Why These Related Problems?

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