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Finding the Fourth Proportional to 3,892.02, 5,838 and 970.31

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Solution

The fourth proportional to 3,892.02, 5,838 and 970.31 is: 1,455.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.02 : 5,838 = 970.31 : x
  2. Step 2: Convert to fraction form
    3,892.02/5,838 = 970.31/x
  3. Step 3: Cross multiply
    3,892.02x = 5,838 × 970.31
  4. Step 4: Simplify right side
    3,892.02x = 5,664,640.59
  5. Step 5: Solve for x
    x = 5,664,640.59/3,892.02
  6. Step 6: Final answer
    x = 1,455.45

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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.