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Finding the Fourth Proportional to 40,770, 56,257.74 and 23,777.82

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Solution

The fourth proportional to 40,770, 56,257.74 and 23,777.82 is: 32,810.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,770 : 56,257.74 = 23,777.82 : x
  2. Step 2: Convert to fraction form
    40,770/56,257.74 = 23,777.82/x
  3. Step 3: Cross multiply
    40,770x = 56,257.74 × 23,777.82
  4. Step 4: Simplify right side
    40,770x = 1,337,686,415.33
  5. Step 5: Solve for x
    x = 1,337,686,415.33/40,770
  6. Step 6: Final answer
    x = 32,810.56

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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.