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Finding the Fourth Proportional to 30,777, 46,172.76 and 10,000.56

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Solution

The fourth proportional to 30,777, 46,172.76 and 10,000.56 is: 15,003.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,777 : 46,172.76 = 10,000.56 : x
  2. Step 2: Convert to fraction form
    30,777/46,172.76 = 10,000.56/x
  3. Step 3: Cross multiply
    30,777x = 46,172.76 × 10,000.56
  4. Step 4: Simplify right side
    30,777x = 461,753,456.75
  5. Step 5: Solve for x
    x = 461,753,456.75/30,777
  6. Step 6: Final answer
    x = 15,003.20

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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.