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Finding the Fourth Proportional to 20,164.65, 30,205.80 and 9,602.70

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Solution

The fourth proportional to 20,164.65, 30,205.80 and 9,602.70 is: 14,384.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.65 : 30,205.80 = 9,602.70 : x
  2. Step 2: Convert to fraction form
    20,164.65/30,205.80 = 9,602.70/x
  3. Step 3: Cross multiply
    20,164.65x = 30,205.80 × 9,602.70
  4. Step 4: Simplify right side
    20,164.65x = 290,057,235.66
  5. Step 5: Solve for x
    x = 290,057,235.66/20,164.65
  6. Step 6: Final answer
    x = 14,384.44

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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.