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Finding the Fourth Proportional to 11,901.55, 16,418.64 and 8,366.80

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Solution

The fourth proportional to 11,901.55, 16,418.64 and 8,366.80 is: 11,542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.55 : 16,418.64 = 8,366.80 : x
  2. Step 2: Convert to fraction form
    11,901.55/16,418.64 = 8,366.80/x
  3. Step 3: Cross multiply
    11,901.55x = 16,418.64 × 8,366.80
  4. Step 4: Simplify right side
    11,901.55x = 137,371,477.15
  5. Step 5: Solve for x
    x = 137,371,477.15/11,901.55
  6. Step 6: Final answer
    x = 11,542.32

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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.