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Finding the Fourth Proportional to 7,034.76, 9,707.40 and 3,891

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Solution

The fourth proportional to 7,034.76, 9,707.40 and 3,891 is: 5,369.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.76 : 9,707.40 = 3,891 : x
  2. Step 2: Convert to fraction form
    7,034.76/9,707.40 = 3,891/x
  3. Step 3: Cross multiply
    7,034.76x = 9,707.40 × 3,891
  4. Step 4: Simplify right side
    7,034.76x = 37,771,493.40
  5. Step 5: Solve for x
    x = 37,771,493.40/7,034.76
  6. Step 6: Final answer
    x = 5,369.27

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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.