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Finding the Fourth Proportional to 10,969.20, 16,453.80 and 8,782.20

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Solution

The fourth proportional to 10,969.20, 16,453.80 and 8,782.20 is: 13,173.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.20 : 16,453.80 = 8,782.20 : x
  2. Step 2: Convert to fraction form
    10,969.20/16,453.80 = 8,782.20/x
  3. Step 3: Cross multiply
    10,969.20x = 16,453.80 × 8,782.20
  4. Step 4: Simplify right side
    10,969.20x = 144,500,562.36
  5. Step 5: Solve for x
    x = 144,500,562.36/10,969.20
  6. Step 6: Final answer
    x = 13,173.30

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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.