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Finding the Fourth Proportional to 13,314.76, 18,375.78 and 8,282.20

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Solution

The fourth proportional to 13,314.76, 18,375.78 and 8,282.20 is: 11,430.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,314.76 : 18,375.78 = 8,282.20 : x
  2. Step 2: Convert to fraction form
    13,314.76/18,375.78 = 8,282.20/x
  3. Step 3: Cross multiply
    13,314.76x = 18,375.78 × 8,282.20
  4. Step 4: Simplify right side
    13,314.76x = 152,191,885.12
  5. Step 5: Solve for x
    x = 152,191,885.12/13,314.76
  6. Step 6: Final answer
    x = 11,430.31

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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.