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Finding the Fourth Proportional to 8,498.21, 12,670.97 and 8,173.40

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Solution

The fourth proportional to 8,498.21, 12,670.97 and 8,173.40 is: 12,186.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.21 : 12,670.97 = 8,173.40 : x
  2. Step 2: Convert to fraction form
    8,498.21/12,670.97 = 8,173.40/x
  3. Step 3: Cross multiply
    8,498.21x = 12,670.97 × 8,173.40
  4. Step 4: Simplify right side
    8,498.21x = 103,564,906.20
  5. Step 5: Solve for x
    x = 103,564,906.20/8,498.21
  6. Step 6: Final answer
    x = 12,186.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.