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Finding the Fourth Proportional to 19,305.28, 28,961.76 and 6,828.64

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Solution

The fourth proportional to 19,305.28, 28,961.76 and 6,828.64 is: 10,244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,305.28 : 28,961.76 = 6,828.64 : x
  2. Step 2: Convert to fraction form
    19,305.28/28,961.76 = 6,828.64/x
  3. Step 3: Cross multiply
    19,305.28x = 28,961.76 × 6,828.64
  4. Step 4: Simplify right side
    19,305.28x = 197,769,432.81
  5. Step 5: Solve for x
    x = 197,769,432.81/19,305.28
  6. Step 6: Final answer
    x = 10,244.32

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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.