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Finding the Fourth Proportional to 9,771.10, 13,431.96 and 9,709.61

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Solution

The fourth proportional to 9,771.10, 13,431.96 and 9,709.61 is: 13,347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.10 : 13,431.96 = 9,709.61 : x
  2. Step 2: Convert to fraction form
    9,771.10/13,431.96 = 9,709.61/x
  3. Step 3: Cross multiply
    9,771.10x = 13,431.96 × 9,709.61
  4. Step 4: Simplify right side
    9,771.10x = 130,419,025.98
  5. Step 5: Solve for x
    x = 130,419,025.98/9,771.10
  6. Step 6: Final answer
    x = 13,347.43

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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.