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Finding the Fourth Proportional to 13,424, 20,071.92 and 12,247.64

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Solution

The fourth proportional to 13,424, 20,071.92 and 12,247.64 is: 18,313.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424 : 20,071.92 = 12,247.64 : x
  2. Step 2: Convert to fraction form
    13,424/20,071.92 = 12,247.64/x
  3. Step 3: Cross multiply
    13,424x = 20,071.92 × 12,247.64
  4. Step 4: Simplify right side
    13,424x = 245,833,650.27
  5. Step 5: Solve for x
    x = 245,833,650.27/13,424
  6. Step 6: Final answer
    x = 18,313.00

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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.