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Finding the Fourth Proportional to 11,966.70, 16,496.94 and 8,418.90

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Solution

The fourth proportional to 11,966.70, 16,496.94 and 8,418.90 is: 11,606.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.70 : 16,496.94 = 8,418.90 : x
  2. Step 2: Convert to fraction form
    11,966.70/16,496.94 = 8,418.90/x
  3. Step 3: Cross multiply
    11,966.70x = 16,496.94 × 8,418.90
  4. Step 4: Simplify right side
    11,966.70x = 138,886,088.17
  5. Step 5: Solve for x
    x = 138,886,088.17/11,966.70
  6. Step 6: Final answer
    x = 11,606.05

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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.