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Finding the Fourth Proportional to 10,969.66, 16,416.21 and 8,972.20

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Solution

The fourth proportional to 10,969.66, 16,416.21 and 8,972.20 is: 13,426.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.66 : 16,416.21 = 8,972.20 : x
  2. Step 2: Convert to fraction form
    10,969.66/16,416.21 = 8,972.20/x
  3. Step 3: Cross multiply
    10,969.66x = 16,416.21 × 8,972.20
  4. Step 4: Simplify right side
    10,969.66x = 147,289,519.36
  5. Step 5: Solve for x
    x = 147,289,519.36/10,969.66
  6. Step 6: Final answer
    x = 13,426.99

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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.