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Finding the Fourth Proportional to 21,341.76, 32,016.74 and 8,193.09

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Solution

The fourth proportional to 21,341.76, 32,016.74 and 8,193.09 is: 12,291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,341.76 : 32,016.74 = 8,193.09 : x
  2. Step 2: Convert to fraction form
    21,341.76/32,016.74 = 8,193.09/x
  3. Step 3: Cross multiply
    21,341.76x = 32,016.74 × 8,193.09
  4. Step 4: Simplify right side
    21,341.76x = 262,315,991.36
  5. Step 5: Solve for x
    x = 262,315,991.36/21,341.76
  6. Step 6: Final answer
    x = 12,291.21

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1.5x scale

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.