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Finding the Fourth Proportional to 19,828.74, 29,744.73 and 8,142.06

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Solution

The fourth proportional to 19,828.74, 29,744.73 and 8,142.06 is: 12,213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,828.74 : 29,744.73 = 8,142.06 : x
  2. Step 2: Convert to fraction form
    19,828.74/29,744.73 = 8,142.06/x
  3. Step 3: Cross multiply
    19,828.74x = 29,744.73 × 8,142.06
  4. Step 4: Simplify right side
    19,828.74x = 242,183,376.34
  5. Step 5: Solve for x
    x = 242,183,376.34/19,828.74
  6. Step 6: Final answer
    x = 12,213.76

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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.