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Finding the Fourth Proportional to 43,981.56, 65,978.10 and 14,391.48

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Solution

The fourth proportional to 43,981.56, 65,978.10 and 14,391.48 is: 21,589.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,981.56 : 65,978.10 = 14,391.48 : x
  2. Step 2: Convert to fraction form
    43,981.56/65,978.10 = 14,391.48/x
  3. Step 3: Cross multiply
    43,981.56x = 65,978.10 × 14,391.48
  4. Step 4: Simplify right side
    43,981.56x = 949,522,506.59
  5. Step 5: Solve for x
    x = 949,522,506.59/43,981.56
  6. Step 6: Final answer
    x = 21,589.10

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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.