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Finding the Fourth Proportional to 7,102.69, 9,801.71 and 3,958.88

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Solution

The fourth proportional to 7,102.69, 9,801.71 and 3,958.88 is: 5,463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.69 : 9,801.71 = 3,958.88 : x
  2. Step 2: Convert to fraction form
    7,102.69/9,801.71 = 3,958.88/x
  3. Step 3: Cross multiply
    7,102.69x = 9,801.71 × 3,958.88
  4. Step 4: Simplify right side
    7,102.69x = 38,803,739.73
  5. Step 5: Solve for x
    x = 38,803,739.73/7,102.69
  6. Step 6: Final answer
    x = 5,463.25

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