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Finding the Fourth Proportional to 5,121.28, 7,638.08 and 4,384

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Solution

The fourth proportional to 5,121.28, 7,638.08 and 4,384 is: 6,538.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.28 : 7,638.08 = 4,384 : x
  2. Step 2: Convert to fraction form
    5,121.28/7,638.08 = 4,384/x
  3. Step 3: Cross multiply
    5,121.28x = 7,638.08 × 4,384
  4. Step 4: Simplify right side
    5,121.28x = 33,485,342.72
  5. Step 5: Solve for x
    x = 33,485,342.72/5,121.28
  6. Step 6: Final answer
    x = 6,538.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.