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Finding the Fourth Proportional to 21,949, 32,923.89 and 7,157.86

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Solution

The fourth proportional to 21,949, 32,923.89 and 7,157.86 is: 10,736.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,949 : 32,923.89 = 7,157.86 : x
  2. Step 2: Convert to fraction form
    21,949/32,923.89 = 7,157.86/x
  3. Step 3: Cross multiply
    21,949x = 32,923.89 × 7,157.86
  4. Step 4: Simplify right side
    21,949x = 235,664,595.28
  5. Step 5: Solve for x
    x = 235,664,595.28/21,949
  6. Step 6: Final answer
    x = 10,736.92

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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.