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Finding the Fourth Proportional to 7,065.67, 9,750.75 and 3,879.26

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Solution

The fourth proportional to 7,065.67, 9,750.75 and 3,879.26 is: 5,353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.67 : 9,750.75 = 3,879.26 : x
  2. Step 2: Convert to fraction form
    7,065.67/9,750.75 = 3,879.26/x
  3. Step 3: Cross multiply
    7,065.67x = 9,750.75 × 3,879.26
  4. Step 4: Simplify right side
    7,065.67x = 37,825,709.12
  5. Step 5: Solve for x
    x = 37,825,709.12/7,065.67
  6. Step 6: Final answer
    x = 5,353.45

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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.