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Finding the Fourth Proportional to 6,390.69, 9,567.49 and 3,918.03

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Solution

The fourth proportional to 6,390.69, 9,567.49 and 3,918.03 is: 5,865.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390.69 : 9,567.49 = 3,918.03 : x
  2. Step 2: Convert to fraction form
    6,390.69/9,567.49 = 3,918.03/x
  3. Step 3: Cross multiply
    6,390.69x = 9,567.49 × 3,918.03
  4. Step 4: Simplify right side
    6,390.69x = 37,485,712.84
  5. Step 5: Solve for x
    x = 37,485,712.84/6,390.69
  6. Step 6: Final answer
    x = 5,865.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.