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Finding the Fourth Proportional to 9,960.21, 14,926.34 and 7,871.03

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Solution

The fourth proportional to 9,960.21, 14,926.34 and 7,871.03 is: 11,795.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960.21 : 14,926.34 = 7,871.03 : x
  2. Step 2: Convert to fraction form
    9,960.21/14,926.34 = 7,871.03/x
  3. Step 3: Cross multiply
    9,960.21x = 14,926.34 × 7,871.03
  4. Step 4: Simplify right side
    9,960.21x = 117,485,555.94
  5. Step 5: Solve for x
    x = 117,485,555.94/9,960.21
  6. Step 6: Final answer
    x = 11,795.49

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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.