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Finding the Fourth Proportional to 20,633.94, 30,946.80 and 10,099.43

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Solution

The fourth proportional to 20,633.94, 30,946.80 and 10,099.43 is: 15,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,633.94 : 30,946.80 = 10,099.43 : x
  2. Step 2: Convert to fraction form
    20,633.94/30,946.80 = 10,099.43/x
  3. Step 3: Cross multiply
    20,633.94x = 30,946.80 × 10,099.43
  4. Step 4: Simplify right side
    20,633.94x = 312,545,040.32
  5. Step 5: Solve for x
    x = 312,545,040.32/20,633.94
  6. Step 6: Final answer
    x = 15,147.14

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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.