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Finding the Fourth Proportional to 21,733, 29,992.74 and 12,302.44

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Solution

The fourth proportional to 21,733, 29,992.74 and 12,302.44 is: 16,978.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,733 : 29,992.74 = 12,302.44 : x
  2. Step 2: Convert to fraction form
    21,733/29,992.74 = 12,302.44/x
  3. Step 3: Cross multiply
    21,733x = 29,992.74 × 12,302.44
  4. Step 4: Simplify right side
    21,733x = 368,983,884.29
  5. Step 5: Solve for x
    x = 368,983,884.29/21,733
  6. Step 6: Final answer
    x = 16,978.05

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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.