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Finding the Fourth Proportional to 11,616.43, 16,030.64 and 6,311.20

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Solution

The fourth proportional to 11,616.43, 16,030.64 and 6,311.20 is: 8,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.43 : 16,030.64 = 6,311.20 : x
  2. Step 2: Convert to fraction form
    11,616.43/16,030.64 = 6,311.20/x
  3. Step 3: Cross multiply
    11,616.43x = 16,030.64 × 6,311.20
  4. Step 4: Simplify right side
    11,616.43x = 101,172,583.69
  5. Step 5: Solve for x
    x = 101,172,583.69/11,616.43
  6. Step 6: Final answer
    x = 8,709.44

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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.