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Finding the Fourth Proportional to 13,412.69, 20,119.03 and 4,178.69

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Solution

The fourth proportional to 13,412.69, 20,119.03 and 4,178.69 is: 6,268.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.69 : 20,119.03 = 4,178.69 : x
  2. Step 2: Convert to fraction form
    13,412.69/20,119.03 = 4,178.69/x
  3. Step 3: Cross multiply
    13,412.69x = 20,119.03 × 4,178.69
  4. Step 4: Simplify right side
    13,412.69x = 84,071,189.47
  5. Step 5: Solve for x
    x = 84,071,189.47/13,412.69
  6. Step 6: Final answer
    x = 6,268.03

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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.