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Finding the Fourth Proportional to 12,088.63, 18,138.11 and 6,827.59

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Solution

The fourth proportional to 12,088.63, 18,138.11 and 6,827.59 is: 10,244.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,088.63 : 18,138.11 = 6,827.59 : x
  2. Step 2: Convert to fraction form
    12,088.63/18,138.11 = 6,827.59/x
  3. Step 3: Cross multiply
    12,088.63x = 18,138.11 × 6,827.59
  4. Step 4: Simplify right side
    12,088.63x = 123,839,544.32
  5. Step 5: Solve for x
    x = 123,839,544.32/12,088.63
  6. Step 6: Final answer
    x = 10,244.30

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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.