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Finding the Fourth Proportional to 6,466.54, 8,921.36 and 3,812.98

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Solution

The fourth proportional to 6,466.54, 8,921.36 and 3,812.98 is: 5,260.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.54 : 8,921.36 = 3,812.98 : x
  2. Step 2: Convert to fraction form
    6,466.54/8,921.36 = 3,812.98/x
  3. Step 3: Cross multiply
    6,466.54x = 8,921.36 × 3,812.98
  4. Step 4: Simplify right side
    6,466.54x = 34,016,967.25
  5. Step 5: Solve for x
    x = 34,016,967.25/6,466.54
  6. Step 6: Final answer
    x = 5,260.46

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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.