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Finding the Fourth Proportional to 9,754.40, 14,633.40 and 2,828.72

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Solution

The fourth proportional to 9,754.40, 14,633.40 and 2,828.72 is: 4,243.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.40 : 14,633.40 = 2,828.72 : x
  2. Step 2: Convert to fraction form
    9,754.40/14,633.40 = 2,828.72/x
  3. Step 3: Cross multiply
    9,754.40x = 14,633.40 × 2,828.72
  4. Step 4: Simplify right side
    9,754.40x = 41,393,791.25
  5. Step 5: Solve for x
    x = 41,393,791.25/9,754.40
  6. Step 6: Final answer
    x = 4,243.60

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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.