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Finding the Fourth Proportional to 20,270.93, 30,398.64 and 9,738.02

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Solution

The fourth proportional to 20,270.93, 30,398.64 and 9,738.02 is: 14,603.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,270.93 : 30,398.64 = 9,738.02 : x
  2. Step 2: Convert to fraction form
    20,270.93/30,398.64 = 9,738.02/x
  3. Step 3: Cross multiply
    20,270.93x = 30,398.64 × 9,738.02
  4. Step 4: Simplify right side
    20,270.93x = 296,022,412.30
  5. Step 5: Solve for x
    x = 296,022,412.30/20,270.93
  6. Step 6: Final answer
    x = 14,603.30

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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.