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Finding the Fourth Proportional to 11,165.28, 16,709.04 and 9,428.64

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Solution

The fourth proportional to 11,165.28, 16,709.04 and 9,428.64 is: 14,110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165.28 : 16,709.04 = 9,428.64 : x
  2. Step 2: Convert to fraction form
    11,165.28/16,709.04 = 9,428.64/x
  3. Step 3: Cross multiply
    11,165.28x = 16,709.04 × 9,428.64
  4. Step 4: Simplify right side
    11,165.28x = 157,543,522.91
  5. Step 5: Solve for x
    x = 157,543,522.91/11,165.28
  6. Step 6: Final answer
    x = 14,110.13

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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.