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Finding the Fourth Proportional to 13,887.84, 20,832.72 and 8,042.40

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Solution

The fourth proportional to 13,887.84, 20,832.72 and 8,042.40 is: 12,064.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887.84 : 20,832.72 = 8,042.40 : x
  2. Step 2: Convert to fraction form
    13,887.84/20,832.72 = 8,042.40/x
  3. Step 3: Cross multiply
    13,887.84x = 20,832.72 × 8,042.40
  4. Step 4: Simplify right side
    13,887.84x = 167,545,067.33
  5. Step 5: Solve for x
    x = 167,545,067.33/13,887.84
  6. Step 6: Final answer
    x = 12,064.16

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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.