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Finding the Fourth Proportional to 43,593.75, 65,391.23 and 12,429

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Solution

The fourth proportional to 43,593.75, 65,391.23 and 12,429 is: 18,643.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,593.75 : 65,391.23 = 12,429 : x
  2. Step 2: Convert to fraction form
    43,593.75/65,391.23 = 12,429/x
  3. Step 3: Cross multiply
    43,593.75x = 65,391.23 × 12,429
  4. Step 4: Simplify right side
    43,593.75x = 812,747,628.74
  5. Step 5: Solve for x
    x = 812,747,628.74/43,593.75
  6. Step 6: Final answer
    x = 18,643.67

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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.