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Finding the Fourth Proportional to 19,189.76, 28,784.64 and 10,976

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Solution

The fourth proportional to 19,189.76, 28,784.64 and 10,976 is: 16,464

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,189.76 : 28,784.64 = 10,976 : x
  2. Step 2: Convert to fraction form
    19,189.76/28,784.64 = 10,976/x
  3. Step 3: Cross multiply
    19,189.76x = 28,784.64 × 10,976
  4. Step 4: Simplify right side
    19,189.76x = 315,940,208.64
  5. Step 5: Solve for x
    x = 315,940,208.64/19,189.76
  6. Step 6: Final answer
    x = 16,464

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1.5x scale

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.