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Finding the Fourth Proportional to 7,065.62, 9,750.62 and 3,922.02

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Solution

The fourth proportional to 7,065.62, 9,750.62 and 3,922.02 is: 5,412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.62 : 9,750.62 = 3,922.02 : x
  2. Step 2: Convert to fraction form
    7,065.62/9,750.62 = 3,922.02/x
  3. Step 3: Cross multiply
    7,065.62x = 9,750.62 × 3,922.02
  4. Step 4: Simplify right side
    7,065.62x = 38,242,126.65
  5. Step 5: Solve for x
    x = 38,242,126.65/7,065.62
  6. Step 6: Final answer
    x = 5,412.42

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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.