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Finding the Fourth Proportional to 19,874.12, 27,423.06 and 11,489

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Solution

The fourth proportional to 19,874.12, 27,423.06 and 11,489 is: 15,852.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,874.12 : 27,423.06 = 11,489 : x
  2. Step 2: Convert to fraction form
    19,874.12/27,423.06 = 11,489/x
  3. Step 3: Cross multiply
    19,874.12x = 27,423.06 × 11,489
  4. Step 4: Simplify right side
    19,874.12x = 315,063,536.34
  5. Step 5: Solve for x
    x = 315,063,536.34/19,874.12
  6. Step 6: Final answer
    x = 15,852.96

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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.