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Finding the Fourth Proportional to 28,200, 42,300 and 11,784

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Solution

The fourth proportional to 28,200, 42,300 and 11,784 is: 17,676

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,200 : 42,300 = 11,784 : x
  2. Step 2: Convert to fraction form
    28,200/42,300 = 11,784/x
  3. Step 3: Cross multiply
    28,200x = 42,300 × 11,784
  4. Step 4: Simplify right side
    28,200x = 498,463,200
  5. Step 5: Solve for x
    x = 498,463,200/28,200
  6. Step 6: Final answer
    x = 17,676

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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.