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Finding the Fourth Proportional to 10,790.84, 16,179.84 and 4,209.32

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Solution

The fourth proportional to 10,790.84, 16,179.84 and 4,209.32 is: 6,311.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,790.84 : 16,179.84 = 4,209.32 : x
  2. Step 2: Convert to fraction form
    10,790.84/16,179.84 = 4,209.32/x
  3. Step 3: Cross multiply
    10,790.84x = 16,179.84 × 4,209.32
  4. Step 4: Simplify right side
    10,790.84x = 68,106,124.11
  5. Step 5: Solve for x
    x = 68,106,124.11/10,790.84
  6. Step 6: Final answer
    x = 6,311.48

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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.