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Finding the Fourth Proportional to 9,274.68, 13,913.84 and 3,431.34

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Solution

The fourth proportional to 9,274.68, 13,913.84 and 3,431.34 is: 5,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.68 : 13,913.84 = 3,431.34 : x
  2. Step 2: Convert to fraction form
    9,274.68/13,913.84 = 3,431.34/x
  3. Step 3: Cross multiply
    9,274.68x = 13,913.84 × 3,431.34
  4. Step 4: Simplify right side
    9,274.68x = 47,743,124.32
  5. Step 5: Solve for x
    x = 47,743,124.32/9,274.68
  6. Step 6: Final answer
    x = 5,147.68

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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.