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Finding the Fourth Proportional to 10,423.72, 15,638.20 and 3,028

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Solution

The fourth proportional to 10,423.72, 15,638.20 and 3,028 is: 4,542.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.72 : 15,638.20 = 3,028 : x
  2. Step 2: Convert to fraction form
    10,423.72/15,638.20 = 3,028/x
  3. Step 3: Cross multiply
    10,423.72x = 15,638.20 × 3,028
  4. Step 4: Simplify right side
    10,423.72x = 47,352,469.60
  5. Step 5: Solve for x
    x = 47,352,469.60/10,423.72
  6. Step 6: Final answer
    x = 4,542.76

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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.