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Finding the Fourth Proportional to 13,412, 20,117.68 and 4,652.96

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Solution

The fourth proportional to 13,412, 20,117.68 and 4,652.96 is: 6,979.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412 : 20,117.68 = 4,652.96 : x
  2. Step 2: Convert to fraction form
    13,412/20,117.68 = 4,652.96/x
  3. Step 3: Cross multiply
    13,412x = 20,117.68 × 4,652.96
  4. Step 4: Simplify right side
    13,412x = 93,606,760.33
  5. Step 5: Solve for x
    x = 93,606,760.33/13,412
  6. Step 6: Final answer
    x = 6,979.33

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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.