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Finding the Fourth Proportional to 13,605.72, 20,407.14 and 4,371

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Solution

The fourth proportional to 13,605.72, 20,407.14 and 4,371 is: 6,556.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.72 : 20,407.14 = 4,371 : x
  2. Step 2: Convert to fraction form
    13,605.72/20,407.14 = 4,371/x
  3. Step 3: Cross multiply
    13,605.72x = 20,407.14 × 4,371
  4. Step 4: Simplify right side
    13,605.72x = 89,199,608.94
  5. Step 5: Solve for x
    x = 89,199,608.94/13,605.72
  6. Step 6: Final answer
    x = 6,556.04

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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.