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Finding the Fourth Proportional to 16,971.50, 23,420.94 and 9,519.50

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Solution

The fourth proportional to 16,971.50, 23,420.94 and 9,519.50 is: 13,137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,971.50 : 23,420.94 = 9,519.50 : x
  2. Step 2: Convert to fraction form
    16,971.50/23,420.94 = 9,519.50/x
  3. Step 3: Cross multiply
    16,971.50x = 23,420.94 × 9,519.50
  4. Step 4: Simplify right side
    16,971.50x = 222,955,638.33
  5. Step 5: Solve for x
    x = 222,955,638.33/16,971.50
  6. Step 6: Final answer
    x = 13,137.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.