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Finding the Fourth Proportional to 12,378.50, 18,570.18 and 5,453

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Solution

The fourth proportional to 12,378.50, 18,570.18 and 5,453 is: 8,180.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.50 : 18,570.18 = 5,453 : x
  2. Step 2: Convert to fraction form
    12,378.50/18,570.18 = 5,453/x
  3. Step 3: Cross multiply
    12,378.50x = 18,570.18 × 5,453
  4. Step 4: Simplify right side
    12,378.50x = 101,263,191.54
  5. Step 5: Solve for x
    x = 101,263,191.54/12,378.50
  6. Step 6: Final answer
    x = 8,180.57

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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.