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Finding the Fourth Proportional to 14,481.81, 19,978.20 and 10,011.78

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Solution

The fourth proportional to 14,481.81, 19,978.20 and 10,011.78 is: 13,811.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,481.81 : 19,978.20 = 10,011.78 : x
  2. Step 2: Convert to fraction form
    14,481.81/19,978.20 = 10,011.78/x
  3. Step 3: Cross multiply
    14,481.81x = 19,978.20 × 10,011.78
  4. Step 4: Simplify right side
    14,481.81x = 200,017,343.20
  5. Step 5: Solve for x
    x = 200,017,343.20/14,481.81
  6. Step 6: Final answer
    x = 13,811.63

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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.