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Finding the Fourth Proportional to 6,509.76, 8,982.27 and 3,858

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Solution

The fourth proportional to 6,509.76, 8,982.27 and 3,858 is: 5,323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.76 : 8,982.27 = 3,858 : x
  2. Step 2: Convert to fraction form
    6,509.76/8,982.27 = 3,858/x
  3. Step 3: Cross multiply
    6,509.76x = 8,982.27 × 3,858
  4. Step 4: Simplify right side
    6,509.76x = 34,653,597.66
  5. Step 5: Solve for x
    x = 34,653,597.66/6,509.76
  6. Step 6: Final answer
    x = 5,323.33

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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.