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Finding the Fourth Proportional to 13,634.08, 20,477.04 and 8,476

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Solution

The fourth proportional to 13,634.08, 20,477.04 and 8,476 is: 12,730.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.08 : 20,477.04 = 8,476 : x
  2. Step 2: Convert to fraction form
    13,634.08/20,477.04 = 8,476/x
  3. Step 3: Cross multiply
    13,634.08x = 20,477.04 × 8,476
  4. Step 4: Simplify right side
    13,634.08x = 173,563,391.04
  5. Step 5: Solve for x
    x = 173,563,391.04/13,634.08
  6. Step 6: Final answer
    x = 12,730.11

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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.