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Finding the Fourth Proportional to 7,028.64, 9,699.14 and 3,884.63

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Solution

The fourth proportional to 7,028.64, 9,699.14 and 3,884.63 is: 5,360.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.64 : 9,699.14 = 3,884.63 : x
  2. Step 2: Convert to fraction form
    7,028.64/9,699.14 = 3,884.63/x
  3. Step 3: Cross multiply
    7,028.64x = 9,699.14 × 3,884.63
  4. Step 4: Simplify right side
    7,028.64x = 37,677,531.43
  5. Step 5: Solve for x
    x = 37,677,531.43/7,028.64
  6. Step 6: Final answer
    x = 5,360.57

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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.