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Finding the Fourth Proportional to 5,727, 7,903.26 and 3,243

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Solution

The fourth proportional to 5,727, 7,903.26 and 3,243 is: 4,475.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,727 : 7,903.26 = 3,243 : x
  2. Step 2: Convert to fraction form
    5,727/7,903.26 = 3,243/x
  3. Step 3: Cross multiply
    5,727x = 7,903.26 × 3,243
  4. Step 4: Simplify right side
    5,727x = 25,630,272.18
  5. Step 5: Solve for x
    x = 25,630,272.18/5,727
  6. Step 6: Final answer
    x = 4,475.34

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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.