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Finding the Fourth Proportional to 4,957, 7,438.38 and 2,221

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Solution

The fourth proportional to 4,957, 7,438.38 and 2,221 is: 3,332.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957 : 7,438.38 = 2,221 : x
  2. Step 2: Convert to fraction form
    4,957/7,438.38 = 2,221/x
  3. Step 3: Cross multiply
    4,957x = 7,438.38 × 2,221
  4. Step 4: Simplify right side
    4,957x = 16,520,641.98
  5. Step 5: Solve for x
    x = 16,520,641.98/4,957
  6. Step 6: Final answer
    x = 3,332.79

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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.