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Finding the Fourth Proportional to 19,310.72, 28,952.32 and 6,828.16

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Solution

The fourth proportional to 19,310.72, 28,952.32 and 6,828.16 is: 10,237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,310.72 : 28,952.32 = 6,828.16 : x
  2. Step 2: Convert to fraction form
    19,310.72/28,952.32 = 6,828.16/x
  3. Step 3: Cross multiply
    19,310.72x = 28,952.32 × 6,828.16
  4. Step 4: Simplify right side
    19,310.72x = 197,691,073.33
  5. Step 5: Solve for x
    x = 197,691,073.33/19,310.72
  6. Step 6: Final answer
    x = 10,237.37

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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.