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Finding the Fourth Proportional to 18,644, 25,728.80 and 10,261.28

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Solution

The fourth proportional to 18,644, 25,728.80 and 10,261.28 is: 14,160.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,644 : 25,728.80 = 10,261.28 : x
  2. Step 2: Convert to fraction form
    18,644/25,728.80 = 10,261.28/x
  3. Step 3: Cross multiply
    18,644x = 25,728.80 × 10,261.28
  4. Step 4: Simplify right side
    18,644x = 264,010,420.86
  5. Step 5: Solve for x
    x = 264,010,420.86/18,644
  6. Step 6: Final answer
    x = 14,160.61

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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.