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Finding the Fourth Proportional to 5,274.63, 7,913.68 and 2,157.26

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Solution

The fourth proportional to 5,274.63, 7,913.68 and 2,157.26 is: 3,236.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.63 : 7,913.68 = 2,157.26 : x
  2. Step 2: Convert to fraction form
    5,274.63/7,913.68 = 2,157.26/x
  3. Step 3: Cross multiply
    5,274.63x = 7,913.68 × 2,157.26
  4. Step 4: Simplify right side
    5,274.63x = 17,071,837.44
  5. Step 5: Solve for x
    x = 17,071,837.44/5,274.63
  6. Step 6: Final answer
    x = 3,236.59

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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.