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Finding the Fourth Proportional to 9,721.88, 14,600.38 and 8,940.44

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Solution

The fourth proportional to 9,721.88, 14,600.38 and 8,940.44 is: 13,426.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.88 : 14,600.38 = 8,940.44 : x
  2. Step 2: Convert to fraction form
    9,721.88/14,600.38 = 8,940.44/x
  3. Step 3: Cross multiply
    9,721.88x = 14,600.38 × 8,940.44
  4. Step 4: Simplify right side
    9,721.88x = 130,533,821.37
  5. Step 5: Solve for x
    x = 130,533,821.37/9,721.88
  6. Step 6: Final answer
    x = 13,426.81

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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.