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Finding the Fourth Proportional to 19,901.97, 29,853.28 and 7,419.42

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Solution

The fourth proportional to 19,901.97, 29,853.28 and 7,419.42 is: 11,129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,901.97 : 29,853.28 = 7,419.42 : x
  2. Step 2: Convert to fraction form
    19,901.97/29,853.28 = 7,419.42/x
  3. Step 3: Cross multiply
    19,901.97x = 29,853.28 × 7,419.42
  4. Step 4: Simplify right side
    19,901.97x = 221,494,022.70
  5. Step 5: Solve for x
    x = 221,494,022.70/19,901.97
  6. Step 6: Final answer
    x = 11,129.25

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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.