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Finding the Fourth Proportional to 43,812.80, 65,720.36 and 12,648

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Solution

The fourth proportional to 43,812.80, 65,720.36 and 12,648 is: 18,972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,812.80 : 65,720.36 = 12,648 : x
  2. Step 2: Convert to fraction form
    43,812.80/65,720.36 = 12,648/x
  3. Step 3: Cross multiply
    43,812.80x = 65,720.36 × 12,648
  4. Step 4: Simplify right side
    43,812.80x = 831,231,113.28
  5. Step 5: Solve for x
    x = 831,231,113.28/43,812.80
  6. Step 6: Final answer
    x = 18,972.33

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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.