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Finding the Fourth Proportional to 21,707.92, 29,942.76 and 13,741.84

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Solution

The fourth proportional to 21,707.92, 29,942.76 and 13,741.84 is: 18,954.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,707.92 : 29,942.76 = 13,741.84 : x
  2. Step 2: Convert to fraction form
    21,707.92/29,942.76 = 13,741.84/x
  3. Step 3: Cross multiply
    21,707.92x = 29,942.76 × 13,741.84
  4. Step 4: Simplify right side
    21,707.92x = 411,468,617.08
  5. Step 5: Solve for x
    x = 411,468,617.08/21,707.92
  6. Step 6: Final answer
    x = 18,954.77

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1.5x scale

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.