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Finding the Fourth Proportional to 10,769.40, 16,069.01 and 9,311.40

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Solution

The fourth proportional to 10,769.40, 16,069.01 and 9,311.40 is: 13,893.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769.40 : 16,069.01 = 9,311.40 : x
  2. Step 2: Convert to fraction form
    10,769.40/16,069.01 = 9,311.40/x
  3. Step 3: Cross multiply
    10,769.40x = 16,069.01 × 9,311.40
  4. Step 4: Simplify right side
    10,769.40x = 149,624,933.16
  5. Step 5: Solve for x
    x = 149,624,933.16/10,769.40
  6. Step 6: Final answer
    x = 13,893.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.