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Finding the Fourth Proportional to 9,775.36, 13,476 and 6,976

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Solution

The fourth proportional to 9,775.36, 13,476 and 6,976 is: 9,616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.36 : 13,476 = 6,976 : x
  2. Step 2: Convert to fraction form
    9,775.36/13,476 = 6,976/x
  3. Step 3: Cross multiply
    9,775.36x = 13,476 × 6,976
  4. Step 4: Simplify right side
    9,775.36x = 94,008,576
  5. Step 5: Solve for x
    x = 94,008,576/9,775.36
  6. Step 6: Final answer
    x = 9,616.89

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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.