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Finding the Fourth Proportional to 20,165.76, 30,209.76 and 9,784.80

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Solution

The fourth proportional to 20,165.76, 30,209.76 and 9,784.80 is: 14,658.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.76 : 30,209.76 = 9,784.80 : x
  2. Step 2: Convert to fraction form
    20,165.76/30,209.76 = 9,784.80/x
  3. Step 3: Cross multiply
    20,165.76x = 30,209.76 × 9,784.80
  4. Step 4: Simplify right side
    20,165.76x = 295,596,459.65
  5. Step 5: Solve for x
    x = 295,596,459.65/20,165.76
  6. Step 6: Final answer
    x = 14,658.33

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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.