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Finding the Fourth Proportional to 18,978.41, 28,470.65 and 9,614.63

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Solution

The fourth proportional to 18,978.41, 28,470.65 and 9,614.63 is: 14,423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,978.41 : 28,470.65 = 9,614.63 : x
  2. Step 2: Convert to fraction form
    18,978.41/28,470.65 = 9,614.63/x
  3. Step 3: Cross multiply
    18,978.41x = 28,470.65 × 9,614.63
  4. Step 4: Simplify right side
    18,978.41x = 273,734,842.80
  5. Step 5: Solve for x
    x = 273,734,842.80/18,978.41
  6. Step 6: Final answer
    x = 14,423.49

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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.