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Finding the Fourth Proportional to 4,217, 6,328.38 and 1,481

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Solution

The fourth proportional to 4,217, 6,328.38 and 1,481 is: 2,222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,217 : 6,328.38 = 1,481 : x
  2. Step 2: Convert to fraction form
    4,217/6,328.38 = 1,481/x
  3. Step 3: Cross multiply
    4,217x = 6,328.38 × 1,481
  4. Step 4: Simplify right side
    4,217x = 9,372,330.78
  5. Step 5: Solve for x
    x = 9,372,330.78/4,217
  6. Step 6: Final answer
    x = 2,222.51

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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.