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Finding the Fourth Proportional to 44,005.56, 66,010.77 and 12,840

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Solution

The fourth proportional to 44,005.56, 66,010.77 and 12,840 is: 19,260.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,005.56 : 66,010.77 = 12,840 : x
  2. Step 2: Convert to fraction form
    44,005.56/66,010.77 = 12,840/x
  3. Step 3: Cross multiply
    44,005.56x = 66,010.77 × 12,840
  4. Step 4: Simplify right side
    44,005.56x = 847,578,286.80
  5. Step 5: Solve for x
    x = 847,578,286.80/44,005.56
  6. Step 6: Final answer
    x = 19,260.71

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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.