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Finding the Fourth Proportional to 5,419, 7,478.22 and 2,935

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Solution

The fourth proportional to 5,419, 7,478.22 and 2,935 is: 4,050.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419 : 7,478.22 = 2,935 : x
  2. Step 2: Convert to fraction form
    5,419/7,478.22 = 2,935/x
  3. Step 3: Cross multiply
    5,419x = 7,478.22 × 2,935
  4. Step 4: Simplify right side
    5,419x = 21,948,575.70
  5. Step 5: Solve for x
    x = 21,948,575.70/5,419
  6. Step 6: Final answer
    x = 4,050.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.