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Finding the Fourth Proportional to 9,384.70, 14,079.87 and 2,811.10

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Solution

The fourth proportional to 9,384.70, 14,079.87 and 2,811.10 is: 4,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.70 : 14,079.87 = 2,811.10 : x
  2. Step 2: Convert to fraction form
    9,384.70/14,079.87 = 2,811.10/x
  3. Step 3: Cross multiply
    9,384.70x = 14,079.87 × 2,811.10
  4. Step 4: Simplify right side
    9,384.70x = 39,579,922.56
  5. Step 5: Solve for x
    x = 39,579,922.56/9,384.70
  6. Step 6: Final answer
    x = 4,217.49

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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.