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Finding the Fourth Proportional to 18,978, 26,189.76 and 10,594.56

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Solution

The fourth proportional to 18,978, 26,189.76 and 10,594.56 is: 14,620.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,978 : 26,189.76 = 10,594.56 : x
  2. Step 2: Convert to fraction form
    18,978/26,189.76 = 10,594.56/x
  3. Step 3: Cross multiply
    18,978x = 26,189.76 × 10,594.56
  4. Step 4: Simplify right side
    18,978x = 277,468,983.71
  5. Step 5: Solve for x
    x = 277,468,983.71/18,978
  6. Step 6: Final answer
    x = 14,620.56

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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.