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Finding the Fourth Proportional to 15,193.50, 20,969.46 and 8,905.86

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Solution

The fourth proportional to 15,193.50, 20,969.46 and 8,905.86 is: 12,291.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,193.50 : 20,969.46 = 8,905.86 : x
  2. Step 2: Convert to fraction form
    15,193.50/20,969.46 = 8,905.86/x
  3. Step 3: Cross multiply
    15,193.50x = 20,969.46 × 8,905.86
  4. Step 4: Simplify right side
    15,193.50x = 186,751,075.04
  5. Step 5: Solve for x
    x = 186,751,075.04/15,193.50
  6. Step 6: Final answer
    x = 12,291.51

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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.