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Finding the Fourth Proportional to 8,375.74, 12,562.74 and 4,214.05

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Solution

The fourth proportional to 8,375.74, 12,562.74 and 4,214.05 is: 6,320.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,375.74 : 12,562.74 = 4,214.05 : x
  2. Step 2: Convert to fraction form
    8,375.74/12,562.74 = 4,214.05/x
  3. Step 3: Cross multiply
    8,375.74x = 12,562.74 × 4,214.05
  4. Step 4: Simplify right side
    8,375.74x = 52,939,983.09
  5. Step 5: Solve for x
    x = 52,939,983.09/8,375.74
  6. Step 6: Final answer
    x = 6,320.64

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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.