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Finding the Fourth Proportional to 7,032.84, 9,705.27 and 3,889

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Solution

The fourth proportional to 7,032.84, 9,705.27 and 3,889 is: 5,366.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.84 : 9,705.27 = 3,889 : x
  2. Step 2: Convert to fraction form
    7,032.84/9,705.27 = 3,889/x
  3. Step 3: Cross multiply
    7,032.84x = 9,705.27 × 3,889
  4. Step 4: Simplify right side
    7,032.84x = 37,743,795.03
  5. Step 5: Solve for x
    x = 37,743,795.03/7,032.84
  6. Step 6: Final answer
    x = 5,366.79

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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.