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Finding the Fourth Proportional to 8,546.10, 12,811.05 and 7,671.30

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Solution

The fourth proportional to 8,546.10, 12,811.05 and 7,671.30 is: 11,499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.10 : 12,811.05 = 7,671.30 : x
  2. Step 2: Convert to fraction form
    8,546.10/12,811.05 = 7,671.30/x
  3. Step 3: Cross multiply
    8,546.10x = 12,811.05 × 7,671.30
  4. Step 4: Simplify right side
    8,546.10x = 98,277,407.87
  5. Step 5: Solve for x
    x = 98,277,407.87/8,546.10
  6. Step 6: Final answer
    x = 11,499.68

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1.5x scale

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.