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Finding the Fourth Proportional to 13,633.54, 18,814.09 and 7,583.72

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Solution

The fourth proportional to 13,633.54, 18,814.09 and 7,583.72 is: 10,465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633.54 : 18,814.09 = 7,583.72 : x
  2. Step 2: Convert to fraction form
    13,633.54/18,814.09 = 7,583.72/x
  3. Step 3: Cross multiply
    13,633.54x = 18,814.09 × 7,583.72
  4. Step 4: Simplify right side
    13,633.54x = 142,680,790.61
  5. Step 5: Solve for x
    x = 142,680,790.61/13,633.54
  6. Step 6: Final answer
    x = 10,465.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.