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Finding the Fourth Proportional to 43,812.54, 65,709.68 and 12,640.50

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Solution

The fourth proportional to 43,812.54, 65,709.68 and 12,640.50 is: 18,958.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,812.54 : 65,709.68 = 12,640.50 : x
  2. Step 2: Convert to fraction form
    43,812.54/65,709.68 = 12,640.50/x
  3. Step 3: Cross multiply
    43,812.54x = 65,709.68 × 12,640.50
  4. Step 4: Simplify right side
    43,812.54x = 830,603,146.84
  5. Step 5: Solve for x
    x = 830,603,146.84/43,812.54
  6. Step 6: Final answer
    x = 18,958.11

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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.