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Finding the Fourth Proportional to 13,872.98, 20,811.28 and 7,299.48

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Solution

The fourth proportional to 13,872.98, 20,811.28 and 7,299.48 is: 10,950.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.98 : 20,811.28 = 7,299.48 : x
  2. Step 2: Convert to fraction form
    13,872.98/20,811.28 = 7,299.48/x
  3. Step 3: Cross multiply
    13,872.98x = 20,811.28 × 7,299.48
  4. Step 4: Simplify right side
    13,872.98x = 151,911,522.13
  5. Step 5: Solve for x
    x = 151,911,522.13/13,872.98
  6. Step 6: Final answer
    x = 10,950.17

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1.5x scale

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.