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Finding the Fourth Proportional to 15,194.99, 20,969.09 and 8,389.01

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Solution

The fourth proportional to 15,194.99, 20,969.09 and 8,389.01 is: 11,576.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,194.99 : 20,969.09 = 8,389.01 : x
  2. Step 2: Convert to fraction form
    15,194.99/20,969.09 = 8,389.01/x
  3. Step 3: Cross multiply
    15,194.99x = 20,969.09 × 8,389.01
  4. Step 4: Simplify right side
    15,194.99x = 175,909,905.70
  5. Step 5: Solve for x
    x = 175,909,905.70/15,194.99
  6. Step 6: Final answer
    x = 11,576.84

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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.