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Finding the Fourth Proportional to 18,909.60, 28,356.03 and 7,214.64

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Solution

The fourth proportional to 18,909.60, 28,356.03 and 7,214.64 is: 10,818.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,909.60 : 28,356.03 = 7,214.64 : x
  2. Step 2: Convert to fraction form
    18,909.60/28,356.03 = 7,214.64/x
  3. Step 3: Cross multiply
    18,909.60x = 28,356.03 × 7,214.64
  4. Step 4: Simplify right side
    18,909.60x = 204,578,548.28
  5. Step 5: Solve for x
    x = 204,578,548.28/18,909.60
  6. Step 6: Final answer
    x = 10,818.77

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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.