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Finding the Fourth Proportional to 10,722.87, 14,817.87 and 8,065.67

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Solution

The fourth proportional to 10,722.87, 14,817.87 and 8,065.67 is: 11,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.87 : 14,817.87 = 8,065.67 : x
  2. Step 2: Convert to fraction form
    10,722.87/14,817.87 = 8,065.67/x
  3. Step 3: Cross multiply
    10,722.87x = 14,817.87 × 8,065.67
  4. Step 4: Simplify right side
    10,722.87x = 119,515,975.43
  5. Step 5: Solve for x
    x = 119,515,975.43/10,722.87
  6. Step 6: Final answer
    x = 11,145.89

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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.