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Finding the Fourth Proportional to 7,001.88, 9,662.54 and 3,858

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Solution

The fourth proportional to 7,001.88, 9,662.54 and 3,858 is: 5,324.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.88 : 9,662.54 = 3,858 : x
  2. Step 2: Convert to fraction form
    7,001.88/9,662.54 = 3,858/x
  3. Step 3: Cross multiply
    7,001.88x = 9,662.54 × 3,858
  4. Step 4: Simplify right side
    7,001.88x = 37,278,060.03
  5. Step 5: Solve for x
    x = 37,278,060.03/7,001.88
  6. Step 6: Final answer
    x = 5,324.01

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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.