Home / 21,194.44-31,786.80-9,511

Finding the Fourth Proportional to 21,194.44, 31,786.80 and 9,511

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Solution

The fourth proportional to 21,194.44, 31,786.80 and 9,511 is: 14,264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,194.44 : 31,786.80 = 9,511 : x
  2. Step 2: Convert to fraction form
    21,194.44/31,786.80 = 9,511/x
  3. Step 3: Cross multiply
    21,194.44x = 31,786.80 × 9,511
  4. Step 4: Simplify right side
    21,194.44x = 302,324,254.80
  5. Step 5: Solve for x
    x = 302,324,254.80/21,194.44
  6. Step 6: Final answer
    x = 14,264.32

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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.