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Finding the Fourth Proportional to 20,623.74, 30,978.27 and 16,679.40

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Solution

The fourth proportional to 20,623.74, 30,978.27 and 16,679.40 is: 25,053.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,623.74 : 30,978.27 = 16,679.40 : x
  2. Step 2: Convert to fraction form
    20,623.74/30,978.27 = 16,679.40/x
  3. Step 3: Cross multiply
    20,623.74x = 30,978.27 × 16,679.40
  4. Step 4: Simplify right side
    20,623.74x = 516,698,956.64
  5. Step 5: Solve for x
    x = 516,698,956.64/20,623.74
  6. Step 6: Final answer
    x = 25,053.60

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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.