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Finding the Fourth Proportional to 21,784.11, 32,673.07 and 6,991.11

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Solution

The fourth proportional to 21,784.11, 32,673.07 and 6,991.11 is: 10,485.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,784.11 : 32,673.07 = 6,991.11 : x
  2. Step 2: Convert to fraction form
    21,784.11/32,673.07 = 6,991.11/x
  3. Step 3: Cross multiply
    21,784.11x = 32,673.07 × 6,991.11
  4. Step 4: Simplify right side
    21,784.11x = 228,421,026.41
  5. Step 5: Solve for x
    x = 228,421,026.41/21,784.11
  6. Step 6: Final answer
    x = 10,485.67

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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.