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Finding the Fourth Proportional to 18,661.72, 27,982.86 and 6,965.32

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Solution

The fourth proportional to 18,661.72, 27,982.86 and 6,965.32 is: 10,444.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,661.72 : 27,982.86 = 6,965.32 : x
  2. Step 2: Convert to fraction form
    18,661.72/27,982.86 = 6,965.32/x
  3. Step 3: Cross multiply
    18,661.72x = 27,982.86 × 6,965.32
  4. Step 4: Simplify right side
    18,661.72x = 194,909,574.42
  5. Step 5: Solve for x
    x = 194,909,574.42/18,661.72
  6. Step 6: Final answer
    x = 10,444.35

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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.