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Finding the Fourth Proportional to 3,938.34, 5,906.02 and 1,305.06

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Solution

The fourth proportional to 3,938.34, 5,906.02 and 1,305.06 is: 1,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.34 : 5,906.02 = 1,305.06 : x
  2. Step 2: Convert to fraction form
    3,938.34/5,906.02 = 1,305.06/x
  3. Step 3: Cross multiply
    3,938.34x = 5,906.02 × 1,305.06
  4. Step 4: Simplify right side
    3,938.34x = 7,707,710.46
  5. Step 5: Solve for x
    x = 7,707,710.46/3,938.34
  6. Step 6: Final answer
    x = 1,957.10

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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.