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Finding the Fourth Proportional to 20,620, 30,946.39 and 7,476.12

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Solution

The fourth proportional to 20,620, 30,946.39 and 7,476.12 is: 11,220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,620 : 30,946.39 = 7,476.12 : x
  2. Step 2: Convert to fraction form
    20,620/30,946.39 = 7,476.12/x
  3. Step 3: Cross multiply
    20,620x = 30,946.39 × 7,476.12
  4. Step 4: Simplify right side
    20,620x = 231,358,925.21
  5. Step 5: Solve for x
    x = 231,358,925.21/20,620
  6. Step 6: Final answer
    x = 11,220.12

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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.