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Finding the Fourth Proportional to 13,412.50, 20,119.86 and 4,178.50

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Solution

The fourth proportional to 13,412.50, 20,119.86 and 4,178.50 is: 6,268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.50 : 20,119.86 = 4,178.50 : x
  2. Step 2: Convert to fraction form
    13,412.50/20,119.86 = 4,178.50/x
  3. Step 3: Cross multiply
    13,412.50x = 20,119.86 × 4,178.50
  4. Step 4: Simplify right side
    13,412.50x = 84,070,835.01
  5. Step 5: Solve for x
    x = 84,070,835.01/13,412.50
  6. Step 6: Final answer
    x = 6,268.10

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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.