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Finding the Fourth Proportional to 5,243.60, 7,865.38 and 1,957.52

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Solution

The fourth proportional to 5,243.60, 7,865.38 and 1,957.52 is: 2,936.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.60 : 7,865.38 = 1,957.52 : x
  2. Step 2: Convert to fraction form
    5,243.60/7,865.38 = 1,957.52/x
  3. Step 3: Cross multiply
    5,243.60x = 7,865.38 × 1,957.52
  4. Step 4: Simplify right side
    5,243.60x = 15,396,638.66
  5. Step 5: Solve for x
    x = 15,396,638.66/5,243.60
  6. Step 6: Final answer
    x = 2,936.27

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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.