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Finding the Fourth Proportional to 28,005.75, 42,008.63 and 7,229.25

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Solution

The fourth proportional to 28,005.75, 42,008.63 and 7,229.25 is: 10,843.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,005.75 : 42,008.63 = 7,229.25 : x
  2. Step 2: Convert to fraction form
    28,005.75/42,008.63 = 7,229.25/x
  3. Step 3: Cross multiply
    28,005.75x = 42,008.63 × 7,229.25
  4. Step 4: Simplify right side
    28,005.75x = 303,690,852.28
  5. Step 5: Solve for x
    x = 303,690,852.28/28,005.75
  6. Step 6: Final answer
    x = 10,843.88

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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.