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Finding the Fourth Proportional to 12,617.60, 18,922.80 and 3,850.40

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Solution

The fourth proportional to 12,617.60, 18,922.80 and 3,850.40 is: 5,774.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,617.60 : 18,922.80 = 3,850.40 : x
  2. Step 2: Convert to fraction form
    12,617.60/18,922.80 = 3,850.40/x
  3. Step 3: Cross multiply
    12,617.60x = 18,922.80 × 3,850.40
  4. Step 4: Simplify right side
    12,617.60x = 72,860,349.12
  5. Step 5: Solve for x
    x = 72,860,349.12/12,617.60
  6. Step 6: Final answer
    x = 5,774.50

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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.