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Finding the Fourth Proportional to 19,827.20, 27,361.74 and 10,874.90

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Solution

The fourth proportional to 19,827.20, 27,361.74 and 10,874.90 is: 15,007.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,827.20 : 27,361.74 = 10,874.90 : x
  2. Step 2: Convert to fraction form
    19,827.20/27,361.74 = 10,874.90/x
  3. Step 3: Cross multiply
    19,827.20x = 27,361.74 × 10,874.90
  4. Step 4: Simplify right side
    19,827.20x = 297,556,186.33
  5. Step 5: Solve for x
    x = 297,556,186.33/19,827.20
  6. Step 6: Final answer
    x = 15,007.47

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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.