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Finding the Fourth Proportional to 19,949.45, 29,920.93 and 9,419.45

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Solution

The fourth proportional to 19,949.45, 29,920.93 and 9,419.45 is: 14,127.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,949.45 : 29,920.93 = 9,419.45 : x
  2. Step 2: Convert to fraction form
    19,949.45/29,920.93 = 9,419.45/x
  3. Step 3: Cross multiply
    19,949.45x = 29,920.93 × 9,419.45
  4. Step 4: Simplify right side
    19,949.45x = 281,838,507.39
  5. Step 5: Solve for x
    x = 281,838,507.39/19,949.45
  6. Step 6: Final answer
    x = 14,127.64

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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.