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Finding the Fourth Proportional to 14,574.80, 21,856.80 and 10,179.20

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Solution

The fourth proportional to 14,574.80, 21,856.80 and 10,179.20 is: 15,265.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,574.80 : 21,856.80 = 10,179.20 : x
  2. Step 2: Convert to fraction form
    14,574.80/21,856.80 = 10,179.20/x
  3. Step 3: Cross multiply
    14,574.80x = 21,856.80 × 10,179.20
  4. Step 4: Simplify right side
    14,574.80x = 222,484,738.56
  5. Step 5: Solve for x
    x = 222,484,738.56/14,574.80
  6. Step 6: Final answer
    x = 15,265.03

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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.