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Finding the Fourth Proportional to 19,867, 29,755.14 and 9,486.04

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Solution

The fourth proportional to 19,867, 29,755.14 and 9,486.04 is: 14,207.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,867 : 29,755.14 = 9,486.04 : x
  2. Step 2: Convert to fraction form
    19,867/29,755.14 = 9,486.04/x
  3. Step 3: Cross multiply
    19,867x = 29,755.14 × 9,486.04
  4. Step 4: Simplify right side
    19,867x = 282,258,448.25
  5. Step 5: Solve for x
    x = 282,258,448.25/19,867
  6. Step 6: Final answer
    x = 14,207.40

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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.