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Finding the Fourth Proportional to 30,620.50, 45,930.75 and 9,844

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Solution

The fourth proportional to 30,620.50, 45,930.75 and 9,844 is: 14,766

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,620.50 : 45,930.75 = 9,844 : x
  2. Step 2: Convert to fraction form
    30,620.50/45,930.75 = 9,844/x
  3. Step 3: Cross multiply
    30,620.50x = 45,930.75 × 9,844
  4. Step 4: Simplify right side
    30,620.50x = 452,142,303
  5. Step 5: Solve for x
    x = 452,142,303/30,620.50
  6. Step 6: Final answer
    x = 14,766

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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.