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Finding the Fourth Proportional to 13,984.11, 21,005.33 and 8,152.11

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Solution

The fourth proportional to 13,984.11, 21,005.33 and 8,152.11 is: 12,245.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.11 : 21,005.33 = 8,152.11 : x
  2. Step 2: Convert to fraction form
    13,984.11/21,005.33 = 8,152.11/x
  3. Step 3: Cross multiply
    13,984.11x = 21,005.33 × 8,152.11
  4. Step 4: Simplify right side
    13,984.11x = 171,237,719.99
  5. Step 5: Solve for x
    x = 171,237,719.99/13,984.11
  6. Step 6: Final answer
    x = 12,245.16

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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.