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Finding the Fourth Proportional to 13,809.80, 19,049.66 and 8,503.48

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Solution

The fourth proportional to 13,809.80, 19,049.66 and 8,503.48 is: 11,729.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.80 : 19,049.66 = 8,503.48 : x
  2. Step 2: Convert to fraction form
    13,809.80/19,049.66 = 8,503.48/x
  3. Step 3: Cross multiply
    13,809.80x = 19,049.66 × 8,503.48
  4. Step 4: Simplify right side
    13,809.80x = 161,988,402.82
  5. Step 5: Solve for x
    x = 161,988,402.82/13,809.80
  6. Step 6: Final answer
    x = 11,729.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.