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Finding the Fourth Proportional to 12,799, 19,206.06 and 5,402.98

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Solution

The fourth proportional to 12,799, 19,206.06 and 5,402.98 is: 8,107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,799 : 19,206.06 = 5,402.98 : x
  2. Step 2: Convert to fraction form
    12,799/19,206.06 = 5,402.98/x
  3. Step 3: Cross multiply
    12,799x = 19,206.06 × 5,402.98
  4. Step 4: Simplify right side
    12,799x = 103,769,958.06
  5. Step 5: Solve for x
    x = 103,769,958.06/12,799
  6. Step 6: Final answer
    x = 8,107.66

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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.