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Finding the Fourth Proportional to 12,607.45, 18,914.51 and 3,842.44

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Solution

The fourth proportional to 12,607.45, 18,914.51 and 3,842.44 is: 5,764.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,607.45 : 18,914.51 = 3,842.44 : x
  2. Step 2: Convert to fraction form
    12,607.45/18,914.51 = 3,842.44/x
  3. Step 3: Cross multiply
    12,607.45x = 18,914.51 × 3,842.44
  4. Step 4: Simplify right side
    12,607.45x = 72,677,832.12
  5. Step 5: Solve for x
    x = 72,677,832.12/12,607.45
  6. Step 6: Final answer
    x = 5,764.67

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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.