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Finding the Fourth Proportional to 43,734, 65,615.48 and 21,562.64

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Solution

The fourth proportional to 43,734, 65,615.48 and 21,562.64 is: 32,351.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,734 : 65,615.48 = 21,562.64 : x
  2. Step 2: Convert to fraction form
    43,734/65,615.48 = 21,562.64/x
  3. Step 3: Cross multiply
    43,734x = 65,615.48 × 21,562.64
  4. Step 4: Simplify right side
    43,734x = 1,414,842,973.67
  5. Step 5: Solve for x
    x = 1,414,842,973.67/43,734
  6. Step 6: Final answer
    x = 32,351.10

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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.