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Finding the Fourth Proportional to 6,402.84, 9,609.11 and 3,118.02

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Solution

The fourth proportional to 6,402.84, 9,609.11 and 3,118.02 is: 4,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.84 : 9,609.11 = 3,118.02 : x
  2. Step 2: Convert to fraction form
    6,402.84/9,609.11 = 3,118.02/x
  3. Step 3: Cross multiply
    6,402.84x = 9,609.11 × 3,118.02
  4. Step 4: Simplify right side
    6,402.84x = 29,961,397.16
  5. Step 5: Solve for x
    x = 29,961,397.16/6,402.84
  6. Step 6: Final answer
    x = 4,679.39

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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.