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Finding the Fourth Proportional to 7,065.69, 9,750.69 and 3,921.89

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Solution

The fourth proportional to 7,065.69, 9,750.69 and 3,921.89 is: 5,412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.69 : 9,750.69 = 3,921.89 : x
  2. Step 2: Convert to fraction form
    7,065.69/9,750.69 = 3,921.89/x
  3. Step 3: Cross multiply
    7,065.69x = 9,750.69 × 3,921.89
  4. Step 4: Simplify right side
    7,065.69x = 38,241,084.85
  5. Step 5: Solve for x
    x = 38,241,084.85/7,065.69
  6. Step 6: Final answer
    x = 5,412.22

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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.