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Finding the Fourth Proportional to 12,800, 19,207.56 and 5,403.98

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Solution

The fourth proportional to 12,800, 19,207.56 and 5,403.98 is: 8,109.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800 : 19,207.56 = 5,403.98 : x
  2. Step 2: Convert to fraction form
    12,800/19,207.56 = 5,403.98/x
  3. Step 3: Cross multiply
    12,800x = 19,207.56 × 5,403.98
  4. Step 4: Simplify right side
    12,800x = 103,797,270.09
  5. Step 5: Solve for x
    x = 103,797,270.09/12,800
  6. Step 6: Final answer
    x = 8,109.16

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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.