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Finding the Fourth Proportional to 7,028.80, 9,699.44 and 3,842

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Solution

The fourth proportional to 7,028.80, 9,699.44 and 3,842 is: 5,301.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.80 : 9,699.44 = 3,842 : x
  2. Step 2: Convert to fraction form
    7,028.80/9,699.44 = 3,842/x
  3. Step 3: Cross multiply
    7,028.80x = 9,699.44 × 3,842
  4. Step 4: Simplify right side
    7,028.80x = 37,265,248.48
  5. Step 5: Solve for x
    x = 37,265,248.48/7,028.80
  6. Step 6: Final answer
    x = 5,301.79

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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.