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Finding the Fourth Proportional to 20,505.40, 30,714.90 and 17,049.40

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Solution

The fourth proportional to 20,505.40, 30,714.90 and 17,049.40 is: 25,538.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,505.40 : 30,714.90 = 17,049.40 : x
  2. Step 2: Convert to fraction form
    20,505.40/30,714.90 = 17,049.40/x
  3. Step 3: Cross multiply
    20,505.40x = 30,714.90 × 17,049.40
  4. Step 4: Simplify right side
    20,505.40x = 523,670,616.06
  5. Step 5: Solve for x
    x = 523,670,616.06/20,505.40
  6. Step 6: Final answer
    x = 25,538.18

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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.