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Finding the Fourth Proportional to 35,880, 49,514.64 and 21,732.96

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Solution

The fourth proportional to 35,880, 49,514.64 and 21,732.96 is: 29,991.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,880 : 49,514.64 = 21,732.96 : x
  2. Step 2: Convert to fraction form
    35,880/49,514.64 = 21,732.96/x
  3. Step 3: Cross multiply
    35,880x = 49,514.64 × 21,732.96
  4. Step 4: Simplify right side
    35,880x = 1,076,099,690.53
  5. Step 5: Solve for x
    x = 1,076,099,690.53/35,880
  6. Step 6: Final answer
    x = 29,991.63

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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.