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Finding the Fourth Proportional to 9,665.64, 14,469.28 and 8,741.63

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Solution

The fourth proportional to 9,665.64, 14,469.28 and 8,741.63 is: 13,086.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.64 : 14,469.28 = 8,741.63 : x
  2. Step 2: Convert to fraction form
    9,665.64/14,469.28 = 8,741.63/x
  3. Step 3: Cross multiply
    9,665.64x = 14,469.28 × 8,741.63
  4. Step 4: Simplify right side
    9,665.64x = 126,485,048.42
  5. Step 5: Solve for x
    x = 126,485,048.42/9,665.64
  6. Step 6: Final answer
    x = 13,086.05

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1.5x scale

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.