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Finding the Fourth Proportional to 8,146.68, 12,219.06 and 6,415.80

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Solution

The fourth proportional to 8,146.68, 12,219.06 and 6,415.80 is: 9,622.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.68 : 12,219.06 = 6,415.80 : x
  2. Step 2: Convert to fraction form
    8,146.68/12,219.06 = 6,415.80/x
  3. Step 3: Cross multiply
    8,146.68x = 12,219.06 × 6,415.80
  4. Step 4: Simplify right side
    8,146.68x = 78,395,045.15
  5. Step 5: Solve for x
    x = 78,395,045.15/8,146.68
  6. Step 6: Final answer
    x = 9,622.94

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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.