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Finding the Fourth Proportional to 13,503, 20,156.80 and 11,665.92

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Solution

The fourth proportional to 13,503, 20,156.80 and 11,665.92 is: 17,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503 : 20,156.80 = 11,665.92 : x
  2. Step 2: Convert to fraction form
    13,503/20,156.80 = 11,665.92/x
  3. Step 3: Cross multiply
    13,503x = 20,156.80 × 11,665.92
  4. Step 4: Simplify right side
    13,503x = 235,147,616.26
  5. Step 5: Solve for x
    x = 235,147,616.26/13,503
  6. Step 6: Final answer
    x = 17,414.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.