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Finding the Fourth Proportional to 12,457.96, 18,674.34 and 8,078.20

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Solution

The fourth proportional to 12,457.96, 18,674.34 and 8,078.20 is: 12,109.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.96 : 18,674.34 = 8,078.20 : x
  2. Step 2: Convert to fraction form
    12,457.96/18,674.34 = 8,078.20/x
  3. Step 3: Cross multiply
    12,457.96x = 18,674.34 × 8,078.20
  4. Step 4: Simplify right side
    12,457.96x = 150,855,053.39
  5. Step 5: Solve for x
    x = 150,855,053.39/12,457.96
  6. Step 6: Final answer
    x = 12,109.13

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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.