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Finding the Fourth Proportional to 30,627, 45,940.50 and 9,850.50

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Solution

The fourth proportional to 30,627, 45,940.50 and 9,850.50 is: 14,775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,627 : 45,940.50 = 9,850.50 : x
  2. Step 2: Convert to fraction form
    30,627/45,940.50 = 9,850.50/x
  3. Step 3: Cross multiply
    30,627x = 45,940.50 × 9,850.50
  4. Step 4: Simplify right side
    30,627x = 452,536,895.25
  5. Step 5: Solve for x
    x = 452,536,895.25/30,627
  6. Step 6: Final answer
    x = 14,775.75

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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.