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Finding the Fourth Proportional to 5,178.18, 7,770.91 and 1,894.03

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Solution

The fourth proportional to 5,178.18, 7,770.91 and 1,894.03 is: 2,842.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.18 : 7,770.91 = 1,894.03 : x
  2. Step 2: Convert to fraction form
    5,178.18/7,770.91 = 1,894.03/x
  3. Step 3: Cross multiply
    5,178.18x = 7,770.91 × 1,894.03
  4. Step 4: Simplify right side
    5,178.18x = 14,718,365.09
  5. Step 5: Solve for x
    x = 14,718,365.09/5,178.18
  6. Step 6: Final answer
    x = 2,842.38

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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.