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Finding the Fourth Proportional to 13,354.68, 20,068.38 and 7,119.14

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Solution

The fourth proportional to 13,354.68, 20,068.38 and 7,119.14 is: 10,698.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,354.68 : 20,068.38 = 7,119.14 : x
  2. Step 2: Convert to fraction form
    13,354.68/20,068.38 = 7,119.14/x
  3. Step 3: Cross multiply
    13,354.68x = 20,068.38 × 7,119.14
  4. Step 4: Simplify right side
    13,354.68x = 142,869,506.45
  5. Step 5: Solve for x
    x = 142,869,506.45/13,354.68
  6. Step 6: Final answer
    x = 10,698.09

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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.