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Finding the Fourth Proportional to 48,000, 66,240 and 28,128

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Solution

The fourth proportional to 48,000, 66,240 and 28,128 is: 38,816.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,000 : 66,240 = 28,128 : x
  2. Step 2: Convert to fraction form
    48,000/66,240 = 28,128/x
  3. Step 3: Cross multiply
    48,000x = 66,240 × 28,128
  4. Step 4: Simplify right side
    48,000x = 1,863,198,720
  5. Step 5: Solve for x
    x = 1,863,198,720/48,000
  6. Step 6: Final answer
    x = 38,816.64

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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.