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Finding the Fourth Proportional to 19,809.97, 29,720.12 and 5,769.68

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Solution

The fourth proportional to 19,809.97, 29,720.12 and 5,769.68 is: 8,656.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,809.97 : 29,720.12 = 5,769.68 : x
  2. Step 2: Convert to fraction form
    19,809.97/29,720.12 = 5,769.68/x
  3. Step 3: Cross multiply
    19,809.97x = 29,720.12 × 5,769.68
  4. Step 4: Simplify right side
    19,809.97x = 171,475,404.51
  5. Step 5: Solve for x
    x = 171,475,404.51/19,809.97
  6. Step 6: Final answer
    x = 8,656.02

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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.