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Finding the Fourth Proportional to 7,830.56, 11,748.63 and 3,447.47

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Solution

The fourth proportional to 7,830.56, 11,748.63 and 3,447.47 is: 5,172.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.56 : 11,748.63 = 3,447.47 : x
  2. Step 2: Convert to fraction form
    7,830.56/11,748.63 = 3,447.47/x
  3. Step 3: Cross multiply
    7,830.56x = 11,748.63 × 3,447.47
  4. Step 4: Simplify right side
    7,830.56x = 40,503,049.47
  5. Step 5: Solve for x
    x = 40,503,049.47/7,830.56
  6. Step 6: Final answer
    x = 5,172.43

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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.