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Finding the Fourth Proportional to 6,576, 9,859.68 and 3,111.36

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Solution

The fourth proportional to 6,576, 9,859.68 and 3,111.36 is: 4,665.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576 : 9,859.68 = 3,111.36 : x
  2. Step 2: Convert to fraction form
    6,576/9,859.68 = 3,111.36/x
  3. Step 3: Cross multiply
    6,576x = 9,859.68 × 3,111.36
  4. Step 4: Simplify right side
    6,576x = 30,677,013.96
  5. Step 5: Solve for x
    x = 30,677,013.96/6,576
  6. Step 6: Final answer
    x = 4,665.00

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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.