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Finding the Fourth Proportional to 19,757.80, 29,627.10 and 10,983.40

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Solution

The fourth proportional to 19,757.80, 29,627.10 and 10,983.40 is: 16,469.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,757.80 : 29,627.10 = 10,983.40 : x
  2. Step 2: Convert to fraction form
    19,757.80/29,627.10 = 10,983.40/x
  3. Step 3: Cross multiply
    19,757.80x = 29,627.10 × 10,983.40
  4. Step 4: Simplify right side
    19,757.80x = 325,406,290.14
  5. Step 5: Solve for x
    x = 325,406,290.14/19,757.80
  6. Step 6: Final answer
    x = 16,469.76

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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.