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Finding the Fourth Proportional to 7,274.88, 10,886.40 and 4,354.56

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Solution

The fourth proportional to 7,274.88, 10,886.40 and 4,354.56 is: 6,516.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274.88 : 10,886.40 = 4,354.56 : x
  2. Step 2: Convert to fraction form
    7,274.88/10,886.40 = 4,354.56/x
  3. Step 3: Cross multiply
    7,274.88x = 10,886.40 × 4,354.56
  4. Step 4: Simplify right side
    7,274.88x = 47,405,481.98
  5. Step 5: Solve for x
    x = 47,405,481.98/7,274.88
  6. Step 6: Final answer
    x = 6,516.32

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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.