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Finding the Fourth Proportional to 13,856, 20,784 and 4,622.72

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Solution

The fourth proportional to 13,856, 20,784 and 4,622.72 is: 6,934.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856 : 20,784 = 4,622.72 : x
  2. Step 2: Convert to fraction form
    13,856/20,784 = 4,622.72/x
  3. Step 3: Cross multiply
    13,856x = 20,784 × 4,622.72
  4. Step 4: Simplify right side
    13,856x = 96,078,612.48
  5. Step 5: Solve for x
    x = 96,078,612.48/13,856
  6. Step 6: Final answer
    x = 6,934.08

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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.