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Finding the Fourth Proportional to 19,969.70, 29,965.08 and 15,286.82

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Solution

The fourth proportional to 19,969.70, 29,965.08 and 15,286.82 is: 22,938.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,969.70 : 29,965.08 = 15,286.82 : x
  2. Step 2: Convert to fraction form
    19,969.70/29,965.08 = 15,286.82/x
  3. Step 3: Cross multiply
    19,969.70x = 29,965.08 × 15,286.82
  4. Step 4: Simplify right side
    19,969.70x = 458,070,784.25
  5. Step 5: Solve for x
    x = 458,070,784.25/19,969.70
  6. Step 6: Final answer
    x = 22,938.29

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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.