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Finding the Fourth Proportional to 13,100.40, 18,074.16 and 7,792.20

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Solution

The fourth proportional to 13,100.40, 18,074.16 and 7,792.20 is: 10,750.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,100.40 : 18,074.16 = 7,792.20 : x
  2. Step 2: Convert to fraction form
    13,100.40/18,074.16 = 7,792.20/x
  3. Step 3: Cross multiply
    13,100.40x = 18,074.16 × 7,792.20
  4. Step 4: Simplify right side
    13,100.40x = 140,837,469.55
  5. Step 5: Solve for x
    x = 140,837,469.55/13,100.40
  6. Step 6: Final answer
    x = 10,750.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.