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Finding the Fourth Proportional to 8,212.61, 12,319.16 and 3,214.78

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Solution

The fourth proportional to 8,212.61, 12,319.16 and 3,214.78 is: 4,822.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.61 : 12,319.16 = 3,214.78 : x
  2. Step 2: Convert to fraction form
    8,212.61/12,319.16 = 3,214.78/x
  3. Step 3: Cross multiply
    8,212.61x = 12,319.16 × 3,214.78
  4. Step 4: Simplify right side
    8,212.61x = 39,603,342.31
  5. Step 5: Solve for x
    x = 39,603,342.31/8,212.61
  6. Step 6: Final answer
    x = 4,822.26

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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.