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Finding the Fourth Proportional to 20,549.53, 30,817 and 7,398.37

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Solution

The fourth proportional to 20,549.53, 30,817 and 7,398.37 is: 11,094.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,549.53 : 30,817 = 7,398.37 : x
  2. Step 2: Convert to fraction form
    20,549.53/30,817 = 7,398.37/x
  3. Step 3: Cross multiply
    20,549.53x = 30,817 × 7,398.37
  4. Step 4: Simplify right side
    20,549.53x = 227,995,568.29
  5. Step 5: Solve for x
    x = 227,995,568.29/20,549.53
  6. Step 6: Final answer
    x = 11,094.93

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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.