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Finding the Fourth Proportional to 28,518, 42,794.82 and 13,728.48

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Solution

The fourth proportional to 28,518, 42,794.82 and 13,728.48 is: 20,601.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,518 : 42,794.82 = 13,728.48 : x
  2. Step 2: Convert to fraction form
    28,518/42,794.82 = 13,728.48/x
  3. Step 3: Cross multiply
    28,518x = 42,794.82 × 13,728.48
  4. Step 4: Simplify right side
    28,518x = 587,507,830.47
  5. Step 5: Solve for x
    x = 587,507,830.47/28,518
  6. Step 6: Final answer
    x = 20,601.30

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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.