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Finding the Fourth Proportional to 9,754, 14,631 and 2,828.56

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Solution

The fourth proportional to 9,754, 14,631 and 2,828.56 is: 4,242.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754 : 14,631 = 2,828.56 : x
  2. Step 2: Convert to fraction form
    9,754/14,631 = 2,828.56/x
  3. Step 3: Cross multiply
    9,754x = 14,631 × 2,828.56
  4. Step 4: Simplify right side
    9,754x = 41,384,661.36
  5. Step 5: Solve for x
    x = 41,384,661.36/9,754
  6. Step 6: Final answer
    x = 4,242.84

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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.