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Finding the Fourth Proportional to 33,142.68, 49,714.02 and 13,407.66

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Solution

The fourth proportional to 33,142.68, 49,714.02 and 13,407.66 is: 20,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,142.68 : 49,714.02 = 13,407.66 : x
  2. Step 2: Convert to fraction form
    33,142.68/49,714.02 = 13,407.66/x
  3. Step 3: Cross multiply
    33,142.68x = 49,714.02 × 13,407.66
  4. Step 4: Simplify right side
    33,142.68x = 666,548,677.39
  5. Step 5: Solve for x
    x = 666,548,677.39/33,142.68
  6. Step 6: Final answer
    x = 20,111.49

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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.