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Finding the Fourth Proportional to 20,638.44, 30,969.96 and 7,491.84

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Solution

The fourth proportional to 20,638.44, 30,969.96 and 7,491.84 is: 11,242.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,638.44 : 30,969.96 = 7,491.84 : x
  2. Step 2: Convert to fraction form
    20,638.44/30,969.96 = 7,491.84/x
  3. Step 3: Cross multiply
    20,638.44x = 30,969.96 × 7,491.84
  4. Step 4: Simplify right side
    20,638.44x = 232,021,985.13
  5. Step 5: Solve for x
    x = 232,021,985.13/20,638.44
  6. Step 6: Final answer
    x = 11,242.22

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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.