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Finding the Fourth Proportional to 28,005, 42,007.68 and 7,228.68

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Solution

The fourth proportional to 28,005, 42,007.68 and 7,228.68 is: 10,843.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,005 : 42,007.68 = 7,228.68 : x
  2. Step 2: Convert to fraction form
    28,005/42,007.68 = 7,228.68/x
  3. Step 3: Cross multiply
    28,005x = 42,007.68 × 7,228.68
  4. Step 4: Simplify right side
    28,005x = 303,660,076.26
  5. Step 5: Solve for x
    x = 303,660,076.26/28,005
  6. Step 6: Final answer
    x = 10,843.07

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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.