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Finding the Fourth Proportional to 11,146.68, 16,720.92 and 4,221

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Solution

The fourth proportional to 11,146.68, 16,720.92 and 4,221 is: 6,331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.68 : 16,720.92 = 4,221 : x
  2. Step 2: Convert to fraction form
    11,146.68/16,720.92 = 4,221/x
  3. Step 3: Cross multiply
    11,146.68x = 16,720.92 × 4,221
  4. Step 4: Simplify right side
    11,146.68x = 70,579,003.32
  5. Step 5: Solve for x
    x = 70,579,003.32/11,146.68
  6. Step 6: Final answer
    x = 6,331.84

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1.5x scale

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.