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Finding the Fourth Proportional to 10,991.50, 16,485.63 and 9,154.42

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Solution

The fourth proportional to 10,991.50, 16,485.63 and 9,154.42 is: 13,730.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,991.50 : 16,485.63 = 9,154.42 : x
  2. Step 2: Convert to fraction form
    10,991.50/16,485.63 = 9,154.42/x
  3. Step 3: Cross multiply
    10,991.50x = 16,485.63 × 9,154.42
  4. Step 4: Simplify right side
    10,991.50x = 150,916,305.44
  5. Step 5: Solve for x
    x = 150,916,305.44/10,991.50
  6. Step 6: Final answer
    x = 13,730.28

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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.