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Finding the Fourth Proportional to 18,136.32, 27,188.04 and 6,446.78

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Solution

The fourth proportional to 18,136.32, 27,188.04 and 6,446.78 is: 9,664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,136.32 : 27,188.04 = 6,446.78 : x
  2. Step 2: Convert to fraction form
    18,136.32/27,188.04 = 6,446.78/x
  3. Step 3: Cross multiply
    18,136.32x = 27,188.04 × 6,446.78
  4. Step 4: Simplify right side
    18,136.32x = 175,275,312.51
  5. Step 5: Solve for x
    x = 175,275,312.51/18,136.32
  6. Step 6: Final answer
    x = 9,664.33

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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.