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Finding the Fourth Proportional to 20,402.56, 30,606 and 7,256.16

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Solution

The fourth proportional to 20,402.56, 30,606 and 7,256.16 is: 10,885.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,402.56 : 30,606 = 7,256.16 : x
  2. Step 2: Convert to fraction form
    20,402.56/30,606 = 7,256.16/x
  3. Step 3: Cross multiply
    20,402.56x = 30,606 × 7,256.16
  4. Step 4: Simplify right side
    20,402.56x = 222,082,032.96
  5. Step 5: Solve for x
    x = 222,082,032.96/20,402.56
  6. Step 6: Final answer
    x = 10,885.01

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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.