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Finding the Fourth Proportional to 6,402.25, 9,602.43 and 2,020.78

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Solution

The fourth proportional to 6,402.25, 9,602.43 and 2,020.78 is: 3,030.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.25 : 9,602.43 = 2,020.78 : x
  2. Step 2: Convert to fraction form
    6,402.25/9,602.43 = 2,020.78/x
  3. Step 3: Cross multiply
    6,402.25x = 9,602.43 × 2,020.78
  4. Step 4: Simplify right side
    6,402.25x = 19,404,398.50
  5. Step 5: Solve for x
    x = 19,404,398.50/6,402.25
  6. Step 6: Final answer
    x = 3,030.87

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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.