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Finding the Fourth Proportional to 43,661.81, 65,504.75 and 17,385

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Solution

The fourth proportional to 43,661.81, 65,504.75 and 17,385 is: 26,082.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,661.81 : 65,504.75 = 17,385 : x
  2. Step 2: Convert to fraction form
    43,661.81/65,504.75 = 17,385/x
  3. Step 3: Cross multiply
    43,661.81x = 65,504.75 × 17,385
  4. Step 4: Simplify right side
    43,661.81x = 1,138,799,991.83
  5. Step 5: Solve for x
    x = 1,138,799,991.83/43,661.81
  6. Step 6: Final answer
    x = 26,082.29

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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.