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Finding the Fourth Proportional to 8,836, 13,255.62 and 4,219

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Solution

The fourth proportional to 8,836, 13,255.62 and 4,219 is: 6,329.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,836 : 13,255.62 = 4,219 : x
  2. Step 2: Convert to fraction form
    8,836/13,255.62 = 4,219/x
  3. Step 3: Cross multiply
    8,836x = 13,255.62 × 4,219
  4. Step 4: Simplify right side
    8,836x = 55,925,460.78
  5. Step 5: Solve for x
    x = 55,925,460.78/8,836
  6. Step 6: Final answer
    x = 6,329.27

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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.