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Finding the Fourth Proportional to 7,029.44, 9,700.66 and 3,885.64

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Solution

The fourth proportional to 7,029.44, 9,700.66 and 3,885.64 is: 5,362.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.44 : 9,700.66 = 3,885.64 : x
  2. Step 2: Convert to fraction form
    7,029.44/9,700.66 = 3,885.64/x
  3. Step 3: Cross multiply
    7,029.44x = 9,700.66 × 3,885.64
  4. Step 4: Simplify right side
    7,029.44x = 37,693,272.52
  5. Step 5: Solve for x
    x = 37,693,272.52/7,029.44
  6. Step 6: Final answer
    x = 5,362.20

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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.