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Finding the Fourth Proportional to 5,390, 7,438.20 and 3,734

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Solution

The fourth proportional to 5,390, 7,438.20 and 3,734 is: 5,152.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390 : 7,438.20 = 3,734 : x
  2. Step 2: Convert to fraction form
    5,390/7,438.20 = 3,734/x
  3. Step 3: Cross multiply
    5,390x = 7,438.20 × 3,734
  4. Step 4: Simplify right side
    5,390x = 27,774,238.80
  5. Step 5: Solve for x
    x = 27,774,238.80/5,390
  6. Step 6: Final answer
    x = 5,152.92

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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.