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Finding the Fourth Proportional to 3,860.03, 5,790 and 938.34

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Solution

The fourth proportional to 3,860.03, 5,790 and 938.34 is: 1,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.03 : 5,790 = 938.34 : x
  2. Step 2: Convert to fraction form
    3,860.03/5,790 = 938.34/x
  3. Step 3: Cross multiply
    3,860.03x = 5,790 × 938.34
  4. Step 4: Simplify right side
    3,860.03x = 5,432,988.60
  5. Step 5: Solve for x
    x = 5,432,988.60/3,860.03
  6. Step 6: Final answer
    x = 1,407.50

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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.