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Finding the Fourth Proportional to 6,258.96, 8,634 and 3,870.27

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Solution

The fourth proportional to 6,258.96, 8,634 and 3,870.27 is: 5,338.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258.96 : 8,634 = 3,870.27 : x
  2. Step 2: Convert to fraction form
    6,258.96/8,634 = 3,870.27/x
  3. Step 3: Cross multiply
    6,258.96x = 8,634 × 3,870.27
  4. Step 4: Simplify right side
    6,258.96x = 33,415,911.18
  5. Step 5: Solve for x
    x = 33,415,911.18/6,258.96
  6. Step 6: Final answer
    x = 5,338.89

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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.