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Finding the Fourth Proportional to 43,858.32, 65,797.20 and 20,472

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Solution

The fourth proportional to 43,858.32, 65,797.20 and 20,472 is: 30,712.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,858.32 : 65,797.20 = 20,472 : x
  2. Step 2: Convert to fraction form
    43,858.32/65,797.20 = 20,472/x
  3. Step 3: Cross multiply
    43,858.32x = 65,797.20 × 20,472
  4. Step 4: Simplify right side
    43,858.32x = 1,347,000,278.40
  5. Step 5: Solve for x
    x = 1,347,000,278.40/43,858.32
  6. Step 6: Final answer
    x = 30,712.54

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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.