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Finding the Fourth Proportional to 40,531, 60,796.77 and 12,829

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Solution

The fourth proportional to 40,531, 60,796.77 and 12,829 is: 19,243.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,531 : 60,796.77 = 12,829 : x
  2. Step 2: Convert to fraction form
    40,531/60,796.77 = 12,829/x
  3. Step 3: Cross multiply
    40,531x = 60,796.77 × 12,829
  4. Step 4: Simplify right side
    40,531x = 779,961,762.33
  5. Step 5: Solve for x
    x = 779,961,762.33/40,531
  6. Step 6: Final answer
    x = 19,243.59

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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.