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Finding the Fourth Proportional to 13,719, 20,579.40 and 5,398.32

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Solution

The fourth proportional to 13,719, 20,579.40 and 5,398.32 is: 8,097.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,719 : 20,579.40 = 5,398.32 : x
  2. Step 2: Convert to fraction form
    13,719/20,579.40 = 5,398.32/x
  3. Step 3: Cross multiply
    13,719x = 20,579.40 × 5,398.32
  4. Step 4: Simplify right side
    13,719x = 111,094,186.61
  5. Step 5: Solve for x
    x = 111,094,186.61/13,719
  6. Step 6: Final answer
    x = 8,097.83

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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.