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Finding the Fourth Proportional to 13,633.68, 18,813.42 and 7,664.19

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Solution

The fourth proportional to 13,633.68, 18,813.42 and 7,664.19 is: 10,575.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633.68 : 18,813.42 = 7,664.19 : x
  2. Step 2: Convert to fraction form
    13,633.68/18,813.42 = 7,664.19/x
  3. Step 3: Cross multiply
    13,633.68x = 18,813.42 × 7,664.19
  4. Step 4: Simplify right side
    13,633.68x = 144,189,625.43
  5. Step 5: Solve for x
    x = 144,189,625.43/13,633.68
  6. Step 6: Final answer
    x = 10,575.99

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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.