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Finding the Fourth Proportional to 12,196, 16,824 and 8,210.32

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Solution

The fourth proportional to 12,196, 16,824 and 8,210.32 is: 11,325.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196 : 16,824 = 8,210.32 : x
  2. Step 2: Convert to fraction form
    12,196/16,824 = 8,210.32/x
  3. Step 3: Cross multiply
    12,196x = 16,824 × 8,210.32
  4. Step 4: Simplify right side
    12,196x = 138,130,423.68
  5. Step 5: Solve for x
    x = 138,130,423.68/12,196
  6. Step 6: Final answer
    x = 11,325.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.