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Finding the Fourth Proportional to 6,433.80, 9,655.31 and 2,738.62

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Solution

The fourth proportional to 6,433.80, 9,655.31 and 2,738.62 is: 4,109.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.80 : 9,655.31 = 2,738.62 : x
  2. Step 2: Convert to fraction form
    6,433.80/9,655.31 = 2,738.62/x
  3. Step 3: Cross multiply
    6,433.80x = 9,655.31 × 2,738.62
  4. Step 4: Simplify right side
    6,433.80x = 26,442,225.07
  5. Step 5: Solve for x
    x = 26,442,225.07/6,433.80
  6. Step 6: Final answer
    x = 4,109.89

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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.