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Finding the Fourth Proportional to 13,822.03, 20,741.92 and 13,771

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Solution

The fourth proportional to 13,822.03, 20,741.92 and 13,771 is: 20,665.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.03 : 20,741.92 = 13,771 : x
  2. Step 2: Convert to fraction form
    13,822.03/20,741.92 = 13,771/x
  3. Step 3: Cross multiply
    13,822.03x = 20,741.92 × 13,771
  4. Step 4: Simplify right side
    13,822.03x = 285,636,980.32
  5. Step 5: Solve for x
    x = 285,636,980.32/13,822.03
  6. Step 6: Final answer
    x = 20,665.34

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1.5x scale

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.