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Finding the Fourth Proportional to 17,967.80, 26,949.80 and 4,821.50

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Solution

The fourth proportional to 17,967.80, 26,949.80 and 4,821.50 is: 7,231.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,967.80 : 26,949.80 = 4,821.50 : x
  2. Step 2: Convert to fraction form
    17,967.80/26,949.80 = 4,821.50/x
  3. Step 3: Cross multiply
    17,967.80x = 26,949.80 × 4,821.50
  4. Step 4: Simplify right side
    17,967.80x = 129,938,460.70
  5. Step 5: Solve for x
    x = 129,938,460.70/17,967.80
  6. Step 6: Final answer
    x = 7,231.74

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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.