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Finding the Fourth Proportional to 20,402, 30,608.40 and 6,551.36

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Solution

The fourth proportional to 20,402, 30,608.40 and 6,551.36 is: 9,828.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,402 : 30,608.40 = 6,551.36 : x
  2. Step 2: Convert to fraction form
    20,402/30,608.40 = 6,551.36/x
  3. Step 3: Cross multiply
    20,402x = 30,608.40 × 6,551.36
  4. Step 4: Simplify right side
    20,402x = 200,526,647.42
  5. Step 5: Solve for x
    x = 200,526,647.42/20,402
  6. Step 6: Final answer
    x = 9,828.77

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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.