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Finding the Fourth Proportional to 12,078.48, 18,109.44 and 5,412.48

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Solution

The fourth proportional to 12,078.48, 18,109.44 and 5,412.48 is: 8,115.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.48 : 18,109.44 = 5,412.48 : x
  2. Step 2: Convert to fraction form
    12,078.48/18,109.44 = 5,412.48/x
  3. Step 3: Cross multiply
    12,078.48x = 18,109.44 × 5,412.48
  4. Step 4: Simplify right side
    12,078.48x = 98,016,981.81
  5. Step 5: Solve for x
    x = 98,016,981.81/12,078.48
  6. Step 6: Final answer
    x = 8,115.01

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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.