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Finding the Fourth Proportional to 40,383, 60,576.93 and 12,681

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Solution

The fourth proportional to 40,383, 60,576.93 and 12,681 is: 19,022.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,383 : 60,576.93 = 12,681 : x
  2. Step 2: Convert to fraction form
    40,383/60,576.93 = 12,681/x
  3. Step 3: Cross multiply
    40,383x = 60,576.93 × 12,681
  4. Step 4: Simplify right side
    40,383x = 768,176,049.33
  5. Step 5: Solve for x
    x = 768,176,049.33/40,383
  6. Step 6: Final answer
    x = 19,022.26

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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.