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Finding the Fourth Proportional to 7,034.45, 9,707.24 and 3,890.43

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Solution

The fourth proportional to 7,034.45, 9,707.24 and 3,890.43 is: 5,368.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.45 : 9,707.24 = 3,890.43 : x
  2. Step 2: Convert to fraction form
    7,034.45/9,707.24 = 3,890.43/x
  3. Step 3: Cross multiply
    7,034.45x = 9,707.24 × 3,890.43
  4. Step 4: Simplify right side
    7,034.45x = 37,765,347.44
  5. Step 5: Solve for x
    x = 37,765,347.44/7,034.45
  6. Step 6: Final answer
    x = 5,368.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.