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Finding the Fourth Proportional to 9,957.21, 14,921.84 and 7,868.02

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Solution

The fourth proportional to 9,957.21, 14,921.84 and 7,868.02 is: 11,790.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.21 : 14,921.84 = 7,868.02 : x
  2. Step 2: Convert to fraction form
    9,957.21/14,921.84 = 7,868.02/x
  3. Step 3: Cross multiply
    9,957.21x = 14,921.84 × 7,868.02
  4. Step 4: Simplify right side
    9,957.21x = 117,405,335.56
  5. Step 5: Solve for x
    x = 117,405,335.56/9,957.21
  6. Step 6: Final answer
    x = 11,790.99

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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.