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Finding the Fourth Proportional to 20,468.96, 30,700 and 5,679.37

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Solution

The fourth proportional to 20,468.96, 30,700 and 5,679.37 is: 8,518.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,468.96 : 30,700 = 5,679.37 : x
  2. Step 2: Convert to fraction form
    20,468.96/30,700 = 5,679.37/x
  3. Step 3: Cross multiply
    20,468.96x = 30,700 × 5,679.37
  4. Step 4: Simplify right side
    20,468.96x = 174,356,659
  5. Step 5: Solve for x
    x = 174,356,659/20,468.96
  6. Step 6: Final answer
    x = 8,518.10

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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.