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Finding the Fourth Proportional to 9,764, 14,647.84 and 3,921.06

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Solution

The fourth proportional to 9,764, 14,647.84 and 3,921.06 is: 5,882.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764 : 14,647.84 = 3,921.06 : x
  2. Step 2: Convert to fraction form
    9,764/14,647.84 = 3,921.06/x
  3. Step 3: Cross multiply
    9,764x = 14,647.84 × 3,921.06
  4. Step 4: Simplify right side
    9,764x = 57,435,059.51
  5. Step 5: Solve for x
    x = 57,435,059.51/9,764
  6. Step 6: Final answer
    x = 5,882.33

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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.