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Finding the Fourth Proportional to 6,542.35, 9,028 and 3,709.45

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Solution

The fourth proportional to 6,542.35, 9,028 and 3,709.45 is: 5,118.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.35 : 9,028 = 3,709.45 : x
  2. Step 2: Convert to fraction form
    6,542.35/9,028 = 3,709.45/x
  3. Step 3: Cross multiply
    6,542.35x = 9,028 × 3,709.45
  4. Step 4: Simplify right side
    6,542.35x = 33,488,914.60
  5. Step 5: Solve for x
    x = 33,488,914.60/6,542.35
  6. Step 6: Final answer
    x = 5,118.79

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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.