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Finding the Fourth Proportional to 20,409.63, 30,619.57 and 9,884.69

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Solution

The fourth proportional to 20,409.63, 30,619.57 and 9,884.69 is: 14,829.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,409.63 : 30,619.57 = 9,884.69 : x
  2. Step 2: Convert to fraction form
    20,409.63/30,619.57 = 9,884.69/x
  3. Step 3: Cross multiply
    20,409.63x = 30,619.57 × 9,884.69
  4. Step 4: Simplify right side
    20,409.63x = 302,664,957.38
  5. Step 5: Solve for x
    x = 302,664,957.38/20,409.63
  6. Step 6: Final answer
    x = 14,829.52

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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.