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Finding the Fourth Proportional to 9,969.88, 13,658.80 and 9,596.20

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Solution

The fourth proportional to 9,969.88, 13,658.80 and 9,596.20 is: 13,146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.88 : 13,658.80 = 9,596.20 : x
  2. Step 2: Convert to fraction form
    9,969.88/13,658.80 = 9,596.20/x
  3. Step 3: Cross multiply
    9,969.88x = 13,658.80 × 9,596.20
  4. Step 4: Simplify right side
    9,969.88x = 131,072,576.56
  5. Step 5: Solve for x
    x = 131,072,576.56/9,969.88
  6. Step 6: Final answer
    x = 13,146.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.