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Finding the Fourth Proportional to 19,744.44, 29,616.80 and 7,899.21

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Solution

The fourth proportional to 19,744.44, 29,616.80 and 7,899.21 is: 11,848.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,744.44 : 29,616.80 = 7,899.21 : x
  2. Step 2: Convert to fraction form
    19,744.44/29,616.80 = 7,899.21/x
  3. Step 3: Cross multiply
    19,744.44x = 29,616.80 × 7,899.21
  4. Step 4: Simplify right side
    19,744.44x = 233,949,283.23
  5. Step 5: Solve for x
    x = 233,949,283.23/19,744.44
  6. Step 6: Final answer
    x = 11,848.87

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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.