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Finding the Fourth Proportional to 20,178, 27,846.53 and 16,815.18

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Solution

The fourth proportional to 20,178, 27,846.53 and 16,815.18 is: 23,205.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178 : 27,846.53 = 16,815.18 : x
  2. Step 2: Convert to fraction form
    20,178/27,846.53 = 16,815.18/x
  3. Step 3: Cross multiply
    20,178x = 27,846.53 × 16,815.18
  4. Step 4: Simplify right side
    20,178x = 468,244,330.25
  5. Step 5: Solve for x
    x = 468,244,330.25/20,178
  6. Step 6: Final answer
    x = 23,205.69

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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.