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Finding the Fourth Proportional to 6,574, 9,858.86 and 2,190.28

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Solution

The fourth proportional to 6,574, 9,858.86 and 2,190.28 is: 3,284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574 : 9,858.86 = 2,190.28 : x
  2. Step 2: Convert to fraction form
    6,574/9,858.86 = 2,190.28/x
  3. Step 3: Cross multiply
    6,574x = 9,858.86 × 2,190.28
  4. Step 4: Simplify right side
    6,574x = 21,593,663.88
  5. Step 5: Solve for x
    x = 21,593,663.88/6,574
  6. Step 6: Final answer
    x = 3,284.71

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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.