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Finding the Fourth Proportional to 19,949.51, 29,921.02 and 9,419.51

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Solution

The fourth proportional to 19,949.51, 29,921.02 and 9,419.51 is: 14,127.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,949.51 : 29,921.02 = 9,419.51 : x
  2. Step 2: Convert to fraction form
    19,949.51/29,921.02 = 9,419.51/x
  3. Step 3: Cross multiply
    19,949.51x = 29,921.02 × 9,419.51
  4. Step 4: Simplify right side
    19,949.51x = 281,841,230.05
  5. Step 5: Solve for x
    x = 281,841,230.05/19,949.51
  6. Step 6: Final answer
    x = 14,127.73

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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.