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Finding the Fourth Proportional to 8,214.90, 12,322.35 and 3,840.90

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Solution

The fourth proportional to 8,214.90, 12,322.35 and 3,840.90 is: 5,761.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.90 : 12,322.35 = 3,840.90 : x
  2. Step 2: Convert to fraction form
    8,214.90/12,322.35 = 3,840.90/x
  3. Step 3: Cross multiply
    8,214.90x = 12,322.35 × 3,840.90
  4. Step 4: Simplify right side
    8,214.90x = 47,328,914.12
  5. Step 5: Solve for x
    x = 47,328,914.12/8,214.90
  6. Step 6: Final answer
    x = 5,761.35

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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.