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Finding the Fourth Proportional to 14,057.65, 19,350.19 and 12,729.05

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Solution

The fourth proportional to 14,057.65, 19,350.19 and 12,729.05 is: 17,521.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,057.65 : 19,350.19 = 12,729.05 : x
  2. Step 2: Convert to fraction form
    14,057.65/19,350.19 = 12,729.05/x
  3. Step 3: Cross multiply
    14,057.65x = 19,350.19 × 12,729.05
  4. Step 4: Simplify right side
    14,057.65x = 246,309,527.74
  5. Step 5: Solve for x
    x = 246,309,527.74/14,057.65
  6. Step 6: Final answer
    x = 17,521.39

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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.