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Finding the Fourth Proportional to 7,022.31, 9,690.48 and 3,835.53

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Solution

The fourth proportional to 7,022.31, 9,690.48 and 3,835.53 is: 5,292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022.31 : 9,690.48 = 3,835.53 : x
  2. Step 2: Convert to fraction form
    7,022.31/9,690.48 = 3,835.53/x
  3. Step 3: Cross multiply
    7,022.31x = 9,690.48 × 3,835.53
  4. Step 4: Simplify right side
    7,022.31x = 37,168,126.75
  5. Step 5: Solve for x
    x = 37,168,126.75/7,022.31
  6. Step 6: Final answer
    x = 5,292.86

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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.